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Finding the Third Proportional to 41,644.13 and 88,117.88

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Solution

The third proportional to 41,644.13 and 88,117.88 is: 186,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644.13 : 88,117.88 = 88,117.88 : x
  2. Step 2: Convert to fraction form
    41,644.13/88,117.88 = 88,117.88/x
  3. Step 3: Cross multiply
    41,644.13x = 88,117.88 × 88,117.88
  4. Step 4: Simplify right side
    41,644.13x = 7,764,759,894.52
  5. Step 5: Solve for x
    x = 7,764,759,894.52/41,644.13
  6. Step 6: Final answer
    x = 186,455.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.