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Finding the Third Proportional to 98,400.66 and 156,651.47

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Solution

The third proportional to 98,400.66 and 156,651.47 is: 249,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,400.66 : 156,651.47 = 156,651.47 : x
  2. Step 2: Convert to fraction form
    98,400.66/156,651.47 = 156,651.47/x
  3. Step 3: Cross multiply
    98,400.66x = 156,651.47 × 156,651.47
  4. Step 4: Simplify right side
    98,400.66x = 24,539,682,661.53
  5. Step 5: Solve for x
    x = 24,539,682,661.53/98,400.66
  6. Step 6: Final answer
    x = 249,385.36

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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.