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Finding the Third Proportional to 98,461 and 215,982

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Solution

The third proportional to 98,461 and 215,982 is: 473,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,461 : 215,982 = 215,982 : x
  2. Step 2: Convert to fraction form
    98,461/215,982 = 215,982/x
  3. Step 3: Cross multiply
    98,461x = 215,982 × 215,982
  4. Step 4: Simplify right side
    98,461x = 46,648,224,324
  5. Step 5: Solve for x
    x = 46,648,224,324/98,461
  6. Step 6: Final answer
    x = 473,773.62

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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.