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Finding the Third Proportional to 100,465.31 and 155,422.13

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Solution

The third proportional to 100,465.31 and 155,422.13 is: 240,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,465.31 : 155,422.13 = 155,422.13 : x
  2. Step 2: Convert to fraction form
    100,465.31/155,422.13 = 155,422.13/x
  3. Step 3: Cross multiply
    100,465.31x = 155,422.13 × 155,422.13
  4. Step 4: Simplify right side
    100,465.31x = 24,156,036,939.52
  5. Step 5: Solve for x
    x = 24,156,036,939.52/100,465.31
  6. Step 6: Final answer
    x = 240,441.56

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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.