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Finding the Third Proportional to 44,654 and 96,319

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Solution

The third proportional to 44,654 and 96,319 is: 207,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,654 : 96,319 = 96,319 : x
  2. Step 2: Convert to fraction form
    44,654/96,319 = 96,319/x
  3. Step 3: Cross multiply
    44,654x = 96,319 × 96,319
  4. Step 4: Simplify right side
    44,654x = 9,277,349,761
  5. Step 5: Solve for x
    x = 9,277,349,761/44,654
  6. Step 6: Final answer
    x = 207,760.78

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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.