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Finding the Third Proportional to 89,731.13 and 197,151.19

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Solution

The third proportional to 89,731.13 and 197,151.19 is: 433,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,731.13 : 197,151.19 = 197,151.19 : x
  2. Step 2: Convert to fraction form
    89,731.13/197,151.19 = 197,151.19/x
  3. Step 3: Cross multiply
    89,731.13x = 197,151.19 × 197,151.19
  4. Step 4: Simplify right side
    89,731.13x = 38,868,590,732.66
  5. Step 5: Solve for x
    x = 38,868,590,732.66/89,731.13
  6. Step 6: Final answer
    x = 433,167.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.