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Finding the Third Proportional to 98,931 and 220,014

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Solution

The third proportional to 98,931 and 220,014 is: 489,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,931 : 220,014 = 220,014 : x
  2. Step 2: Convert to fraction form
    98,931/220,014 = 220,014/x
  3. Step 3: Cross multiply
    98,931x = 220,014 × 220,014
  4. Step 4: Simplify right side
    98,931x = 48,406,160,196
  5. Step 5: Solve for x
    x = 48,406,160,196/98,931
  6. Step 6: Final answer
    x = 489,292.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.