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Finding the Third Proportional to 109,657.13 and 227,930.63

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Solution

The third proportional to 109,657.13 and 227,930.63 is: 473,771.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,657.13 : 227,930.63 = 227,930.63 : x
  2. Step 2: Convert to fraction form
    109,657.13/227,930.63 = 227,930.63/x
  3. Step 3: Cross multiply
    109,657.13x = 227,930.63 × 227,930.63
  4. Step 4: Simplify right side
    109,657.13x = 51,952,369,812.89
  5. Step 5: Solve for x
    x = 51,952,369,812.89/109,657.13
  6. Step 6: Final answer
    x = 473,771.04

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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.