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Finding the Third Proportional to 109,356 and 227,437.13

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Solution

The third proportional to 109,356 and 227,437.13 is: 473,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,356 : 227,437.13 = 227,437.13 : x
  2. Step 2: Convert to fraction form
    109,356/227,437.13 = 227,437.13/x
  3. Step 3: Cross multiply
    109,356x = 227,437.13 × 227,437.13
  4. Step 4: Simplify right side
    109,356x = 51,727,645,828.27
  5. Step 5: Solve for x
    x = 51,727,645,828.27/109,356
  6. Step 6: Final answer
    x = 473,020.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.