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Finding the Third Proportional to 46,972.13 and 98,560.13

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Solution

The third proportional to 46,972.13 and 98,560.13 is: 206,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,972.13 : 98,560.13 = 98,560.13 : x
  2. Step 2: Convert to fraction form
    46,972.13/98,560.13 = 98,560.13/x
  3. Step 3: Cross multiply
    46,972.13x = 98,560.13 × 98,560.13
  4. Step 4: Simplify right side
    46,972.13x = 9,714,098,240.02
  5. Step 5: Solve for x
    x = 9,714,098,240.02/46,972.13
  6. Step 6: Final answer
    x = 206,805.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.