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Finding the Third Proportional to 82,057,354.25 and 129,935,742.50

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Solution

The third proportional to 82,057,354.25 and 129,935,742.50 is: 205,749,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,057,354.25 : 129,935,742.50 = 129,935,742.50 : x
  2. Step 2: Convert to fraction form
    82,057,354.25/129,935,742.50 = 129,935,742.50/x
  3. Step 3: Cross multiply
    82,057,354.25x = 129,935,742.50 × 129,935,742.50
  4. Step 4: Simplify right side
    82,057,354.25x = 16,883,297,179,026,306
  5. Step 5: Solve for x
    x = 16,883,297,179,026,306/82,057,354.25
  6. Step 6: Final answer
    x = 205,749,957.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.