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Finding the Third Proportional to 99,721.13 and 149,681.04

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Solution

The third proportional to 99,721.13 and 149,681.04 is: 224,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,721.13 : 149,681.04 = 149,681.04 : x
  2. Step 2: Convert to fraction form
    99,721.13/149,681.04 = 149,681.04/x
  3. Step 3: Cross multiply
    99,721.13x = 149,681.04 × 149,681.04
  4. Step 4: Simplify right side
    99,721.13x = 22,404,413,454.83
  5. Step 5: Solve for x
    x = 22,404,413,454.83/99,721.13
  6. Step 6: Final answer
    x = 224,670.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.