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Finding the Third Proportional to 44,878 and 98,460

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Solution

The third proportional to 44,878 and 98,460 is: 216,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,878 : 98,460 = 98,460 : x
  2. Step 2: Convert to fraction form
    44,878/98,460 = 98,460/x
  3. Step 3: Cross multiply
    44,878x = 98,460 × 98,460
  4. Step 4: Simplify right side
    44,878x = 9,694,371,600
  5. Step 5: Solve for x
    x = 9,694,371,600/44,878
  6. Step 6: Final answer
    x = 216,016.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.