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Finding the Third Proportional to 98,902 and 214,220

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Solution

The third proportional to 98,902 and 214,220 is: 463,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,902 : 214,220 = 214,220 : x
  2. Step 2: Convert to fraction form
    98,902/214,220 = 214,220/x
  3. Step 3: Cross multiply
    98,902x = 214,220 × 214,220
  4. Step 4: Simplify right side
    98,902x = 45,890,208,400
  5. Step 5: Solve for x
    x = 45,890,208,400/98,902
  6. Step 6: Final answer
    x = 463,996.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.