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Finding the Third Proportional to 91,486 and 197,552

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Solution

The third proportional to 91,486 and 197,552 is: 426,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,486 : 197,552 = 197,552 : x
  2. Step 2: Convert to fraction form
    91,486/197,552 = 197,552/x
  3. Step 3: Cross multiply
    91,486x = 197,552 × 197,552
  4. Step 4: Simplify right side
    91,486x = 39,026,792,704
  5. Step 5: Solve for x
    x = 39,026,792,704/91,486
  6. Step 6: Final answer
    x = 426,587.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.