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Finding the Third Proportional to 45,691.13 and 101,888.16

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Solution

The third proportional to 45,691.13 and 101,888.16 is: 227,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,691.13 : 101,888.16 = 101,888.16 : x
  2. Step 2: Convert to fraction form
    45,691.13/101,888.16 = 101,888.16/x
  3. Step 3: Cross multiply
    45,691.13x = 101,888.16 × 101,888.16
  4. Step 4: Simplify right side
    45,691.13x = 10,381,196,384.02
  5. Step 5: Solve for x
    x = 10,381,196,384.02/45,691.13
  6. Step 6: Final answer
    x = 227,203.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.