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Finding the Third Proportional to 98,549 and 216,175

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Solution

The third proportional to 98,549 and 216,175 is: 474,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,549 : 216,175 = 216,175 : x
  2. Step 2: Convert to fraction form
    98,549/216,175 = 216,175/x
  3. Step 3: Cross multiply
    98,549x = 216,175 × 216,175
  4. Step 4: Simplify right side
    98,549x = 46,731,630,625
  5. Step 5: Solve for x
    x = 46,731,630,625/98,549
  6. Step 6: Final answer
    x = 474,196.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.