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Finding the Third Proportional to 98,429.50 and 214,902

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Solution

The third proportional to 98,429.50 and 214,902 is: 469,197.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,429.50 : 214,902 = 214,902 : x
  2. Step 2: Convert to fraction form
    98,429.50/214,902 = 214,902/x
  3. Step 3: Cross multiply
    98,429.50x = 214,902 × 214,902
  4. Step 4: Simplify right side
    98,429.50x = 46,182,869,604
  5. Step 5: Solve for x
    x = 46,182,869,604/98,429.50
  6. Step 6: Final answer
    x = 469,197.44

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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.