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Finding the Third Proportional to 107,098.88 and 157,528.13

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Solution

The third proportional to 107,098.88 and 157,528.13 is: 231,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,098.88 : 157,528.13 = 157,528.13 : x
  2. Step 2: Convert to fraction form
    107,098.88/157,528.13 = 157,528.13/x
  3. Step 3: Cross multiply
    107,098.88x = 157,528.13 × 157,528.13
  4. Step 4: Simplify right side
    107,098.88x = 24,815,110,166.02
  5. Step 5: Solve for x
    x = 24,815,110,166.02/107,098.88
  6. Step 6: Final answer
    x = 231,702.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.