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Finding the Third Proportional to 42,444 and 91,464

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Solution

The third proportional to 42,444 and 91,464 is: 197,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,444 : 91,464 = 91,464 : x
  2. Step 2: Convert to fraction form
    42,444/91,464 = 91,464/x
  3. Step 3: Cross multiply
    42,444x = 91,464 × 91,464
  4. Step 4: Simplify right side
    42,444x = 8,365,663,296
  5. Step 5: Solve for x
    x = 8,365,663,296/42,444
  6. Step 6: Final answer
    x = 197,098.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.