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Finding the Third Proportional to 46,186.50 and 98,691

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Solution

The third proportional to 46,186.50 and 98,691 is: 210,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,186.50 : 98,691 = 98,691 : x
  2. Step 2: Convert to fraction form
    46,186.50/98,691 = 98,691/x
  3. Step 3: Cross multiply
    46,186.50x = 98,691 × 98,691
  4. Step 4: Simplify right side
    46,186.50x = 9,739,913,481
  5. Step 5: Solve for x
    x = 9,739,913,481/46,186.50
  6. Step 6: Final answer
    x = 210,882.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.