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Finding the Third Proportional to 98,464 and 216,610

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Solution

The third proportional to 98,464 and 216,610 is: 476,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,464 : 216,610 = 216,610 : x
  2. Step 2: Convert to fraction form
    98,464/216,610 = 216,610/x
  3. Step 3: Cross multiply
    98,464x = 216,610 × 216,610
  4. Step 4: Simplify right side
    98,464x = 46,919,892,100
  5. Step 5: Solve for x
    x = 46,919,892,100/98,464
  6. Step 6: Final answer
    x = 476,518.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.