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Finding the Third Proportional to 98,405.13 and 156,658.13

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Solution

The third proportional to 98,405.13 and 156,658.13 is: 249,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,405.13 : 156,658.13 = 156,658.13 : x
  2. Step 2: Convert to fraction form
    98,405.13/156,658.13 = 156,658.13/x
  3. Step 3: Cross multiply
    98,405.13x = 156,658.13 × 156,658.13
  4. Step 4: Simplify right side
    98,405.13x = 24,541,768,128.52
  5. Step 5: Solve for x
    x = 24,541,768,128.52/98,405.13
  6. Step 6: Final answer
    x = 249,395.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.