Home / 278,516,933,068.50-418,070,189,842.50

Finding the Third Proportional to 278,516,933,068.50 and 418,070,189,842.50

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Solution

The third proportional to 278,516,933,068.50 and 418,070,189,842.50 is: 627,547,782,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,516,933,068.50 : 418,070,189,842.50 = 418,070,189,842.50 : x
  2. Step 2: Convert to fraction form
    278,516,933,068.50/418,070,189,842.50 = 418,070,189,842.50/x
  3. Step 3: Cross multiply
    278,516,933,068.50x = 418,070,189,842.50 × 418,070,189,842.50
  4. Step 4: Simplify right side
    278,516,933,068.50x = 174,782,683,634,943,976,800,256
  5. Step 5: Solve for x
    x = 174,782,683,634,943,976,800,256/278,516,933,068.50
  6. Step 6: Final answer
    x = 627,547,782,137.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.