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Finding the Third Proportional to 109,360.13 and 156,385.13

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Solution

The third proportional to 109,360.13 and 156,385.13 is: 223,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,360.13 : 156,385.13 = 156,385.13 : x
  2. Step 2: Convert to fraction form
    109,360.13/156,385.13 = 156,385.13/x
  3. Step 3: Cross multiply
    109,360.13x = 156,385.13 × 156,385.13
  4. Step 4: Simplify right side
    109,360.13x = 24,456,307,321.27
  5. Step 5: Solve for x
    x = 24,456,307,321.27/109,360.13
  6. Step 6: Final answer
    x = 223,630.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.