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Finding the Third Proportional to 91,767 and 207,478

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Solution

The third proportional to 91,767 and 207,478 is: 469,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,767 : 207,478 = 207,478 : x
  2. Step 2: Convert to fraction form
    91,767/207,478 = 207,478/x
  3. Step 3: Cross multiply
    91,767x = 207,478 × 207,478
  4. Step 4: Simplify right side
    91,767x = 43,047,120,484
  5. Step 5: Solve for x
    x = 43,047,120,484/91,767
  6. Step 6: Final answer
    x = 469,091.51

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.