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Finding the Third Proportional to 82,253,739.38 and 180,650,819.25

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Solution

The third proportional to 82,253,739.38 and 180,650,819.25 is: 396,756,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,253,739.38 : 180,650,819.25 = 180,650,819.25 : x
  2. Step 2: Convert to fraction form
    82,253,739.38/180,650,819.25 = 180,650,819.25/x
  3. Step 3: Cross multiply
    82,253,739.38x = 180,650,819.25 × 180,650,819.25
  4. Step 4: Simplify right side
    82,253,739.38x = 32,634,718,495,696,172
  5. Step 5: Solve for x
    x = 32,634,718,495,696,172/82,253,739.38
  6. Step 6: Final answer
    x = 396,756,655.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.