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Finding the Third Proportional to 141,138,836.50 and 305,730,582.50

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Solution

The third proportional to 141,138,836.50 and 305,730,582.50 is: 662,264,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,138,836.50 : 305,730,582.50 = 305,730,582.50 : x
  2. Step 2: Convert to fraction form
    141,138,836.50/305,730,582.50 = 305,730,582.50/x
  3. Step 3: Cross multiply
    141,138,836.50x = 305,730,582.50 × 305,730,582.50
  4. Step 4: Simplify right side
    141,138,836.50x = 93,471,189,075,789,312
  5. Step 5: Solve for x
    x = 93,471,189,075,789,312/141,138,836.50
  6. Step 6: Final answer
    x = 662,264,132.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.