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Finding the Third Proportional to 45,196 and 98,721

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Solution

The third proportional to 45,196 and 98,721 is: 215,634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,196 : 98,721 = 98,721 : x
  2. Step 2: Convert to fraction form
    45,196/98,721 = 98,721/x
  3. Step 3: Cross multiply
    45,196x = 98,721 × 98,721
  4. Step 4: Simplify right side
    45,196x = 9,745,835,841
  5. Step 5: Solve for x
    x = 9,745,835,841/45,196
  6. Step 6: Final answer
    x = 215,634.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.