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Finding the Third Proportional to 98,499 and 218,058

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Solution

The third proportional to 98,499 and 218,058 is: 482,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,499 : 218,058 = 218,058 : x
  2. Step 2: Convert to fraction form
    98,499/218,058 = 218,058/x
  3. Step 3: Cross multiply
    98,499x = 218,058 × 218,058
  4. Step 4: Simplify right side
    98,499x = 47,549,291,364
  5. Step 5: Solve for x
    x = 47,549,291,364/98,499
  6. Step 6: Final answer
    x = 482,738.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.