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Finding the Third Proportional to 80,105,041.13 and 164,456,689.50

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Solution

The third proportional to 80,105,041.13 and 164,456,689.50 is: 337,631,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,041.13 : 164,456,689.50 = 164,456,689.50 : x
  2. Step 2: Convert to fraction form
    80,105,041.13/164,456,689.50 = 164,456,689.50/x
  3. Step 3: Cross multiply
    80,105,041.13x = 164,456,689.50 × 164,456,689.50
  4. Step 4: Simplify right side
    80,105,041.13x = 27,046,002,721,299,412
  5. Step 5: Solve for x
    x = 27,046,002,721,299,412/80,105,041.13
  6. Step 6: Final answer
    x = 337,631,718.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.