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Finding the Third Proportional to 100,957.88 and 156,304.13

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Solution

The third proportional to 100,957.88 and 156,304.13 is: 241,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,957.88 : 156,304.13 = 156,304.13 : x
  2. Step 2: Convert to fraction form
    100,957.88/156,304.13 = 156,304.13/x
  3. Step 3: Cross multiply
    100,957.88x = 156,304.13 × 156,304.13
  4. Step 4: Simplify right side
    100,957.88x = 24,430,979,492.02
  5. Step 5: Solve for x
    x = 24,430,979,492.02/100,957.88
  6. Step 6: Final answer
    x = 241,991.82

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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.