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Finding the Third Proportional to 88,998 and 195,519

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Solution

The third proportional to 88,998 and 195,519 is: 429,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,998 : 195,519 = 195,519 : x
  2. Step 2: Convert to fraction form
    88,998/195,519 = 195,519/x
  3. Step 3: Cross multiply
    88,998x = 195,519 × 195,519
  4. Step 4: Simplify right side
    88,998x = 38,227,679,361
  5. Step 5: Solve for x
    x = 38,227,679,361/88,998
  6. Step 6: Final answer
    x = 429,534.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.