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Finding the Third Proportional to 91,222.88 and 136,468.13

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Solution

The third proportional to 91,222.88 and 136,468.13 is: 204,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,222.88 : 136,468.13 = 136,468.13 : x
  2. Step 2: Convert to fraction form
    91,222.88/136,468.13 = 136,468.13/x
  3. Step 3: Cross multiply
    91,222.88x = 136,468.13 × 136,468.13
  4. Step 4: Simplify right side
    91,222.88x = 18,623,549,141.02
  5. Step 5: Solve for x
    x = 18,623,549,141.02/91,222.88
  6. Step 6: Final answer
    x = 204,154.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.