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Finding the Third Proportional to 82,739,406 and 133,315,218

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Solution

The third proportional to 82,739,406 and 133,315,218 is: 214,806,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,739,406 : 133,315,218 = 133,315,218 : x
  2. Step 2: Convert to fraction form
    82,739,406/133,315,218 = 133,315,218/x
  3. Step 3: Cross multiply
    82,739,406x = 133,315,218 × 133,315,218
  4. Step 4: Simplify right side
    82,739,406x = 17,772,947,350,387,524
  5. Step 5: Solve for x
    x = 17,772,947,350,387,524/82,739,406
  6. Step 6: Final answer
    x = 214,806,320.34

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.