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Finding the Third Proportional to 100,963.97 and 156,312.28

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Solution

The third proportional to 100,963.97 and 156,312.28 is: 242,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,963.97 : 156,312.28 = 156,312.28 : x
  2. Step 2: Convert to fraction form
    100,963.97/156,312.28 = 156,312.28/x
  3. Step 3: Cross multiply
    100,963.97x = 156,312.28 × 156,312.28
  4. Step 4: Simplify right side
    100,963.97x = 24,433,529,269.58
  5. Step 5: Solve for x
    x = 24,433,529,269.58/100,963.97
  6. Step 6: Final answer
    x = 242,002.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.