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Finding the Third Proportional to 44,656 and 98,239

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Solution

The third proportional to 44,656 and 98,239 is: 216,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,656 : 98,239 = 98,239 : x
  2. Step 2: Convert to fraction form
    44,656/98,239 = 98,239/x
  3. Step 3: Cross multiply
    44,656x = 98,239 × 98,239
  4. Step 4: Simplify right side
    44,656x = 9,650,901,121
  5. Step 5: Solve for x
    x = 9,650,901,121/44,656
  6. Step 6: Final answer
    x = 216,116.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.