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Finding the Third Proportional to 47,439 and 99,262.13

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Solution

The third proportional to 47,439 and 99,262.13 is: 207,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,439 : 99,262.13 = 99,262.13 : x
  2. Step 2: Convert to fraction form
    47,439/99,262.13 = 99,262.13/x
  3. Step 3: Cross multiply
    47,439x = 99,262.13 × 99,262.13
  4. Step 4: Simplify right side
    47,439x = 9,852,969,459.52
  5. Step 5: Solve for x
    x = 9,852,969,459.52/47,439
  6. Step 6: Final answer
    x = 207,697.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.