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Finding the Third Proportional to 82,057,347 and 129,935,731.50

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Solution

The third proportional to 82,057,347 and 129,935,731.50 is: 205,749,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,057,347 : 129,935,731.50 = 129,935,731.50 : x
  2. Step 2: Convert to fraction form
    82,057,347/129,935,731.50 = 129,935,731.50/x
  3. Step 3: Cross multiply
    82,057,347x = 129,935,731.50 × 129,935,731.50
  4. Step 4: Simplify right side
    82,057,347x = 16,883,294,320,440,092
  5. Step 5: Solve for x
    x = 16,883,294,320,440,092/82,057,347
  6. Step 6: Final answer
    x = 205,749,941.20

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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.