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Finding the Third Proportional to 109,646.16 and 227,911.22

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Solution

The third proportional to 109,646.16 and 227,911.22 is: 473,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,646.16 : 227,911.22 = 227,911.22 : x
  2. Step 2: Convert to fraction form
    109,646.16/227,911.22 = 227,911.22/x
  3. Step 3: Cross multiply
    109,646.16x = 227,911.22 × 227,911.22
  4. Step 4: Simplify right side
    109,646.16x = 51,943,523,632.11
  5. Step 5: Solve for x
    x = 51,943,523,632.11/109,646.16
  6. Step 6: Final answer
    x = 473,737.75

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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.