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Finding the Third Proportional to 98,127 and 218,460

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Solution

The third proportional to 98,127 and 218,460 is: 486,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,127 : 218,460 = 218,460 : x
  2. Step 2: Convert to fraction form
    98,127/218,460 = 218,460/x
  3. Step 3: Cross multiply
    98,127x = 218,460 × 218,460
  4. Step 4: Simplify right side
    98,127x = 47,724,771,600
  5. Step 5: Solve for x
    x = 47,724,771,600/98,127
  6. Step 6: Final answer
    x = 486,357.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.