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Finding the Third Proportional to 91,403.44 and 141,253.88

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Solution

The third proportional to 91,403.44 and 141,253.88 is: 218,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,403.44 : 141,253.88 = 141,253.88 : x
  2. Step 2: Convert to fraction form
    91,403.44/141,253.88 = 141,253.88/x
  3. Step 3: Cross multiply
    91,403.44x = 141,253.88 × 141,253.88
  4. Step 4: Simplify right side
    91,403.44x = 19,952,657,202.52
  5. Step 5: Solve for x
    x = 19,952,657,202.52/91,403.44
  6. Step 6: Final answer
    x = 218,292.20

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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.