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Finding the Third Proportional to 99,221 and 144,451

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Solution

The third proportional to 99,221 and 144,451 is: 210,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,221 : 144,451 = 144,451 : x
  2. Step 2: Convert to fraction form
    99,221/144,451 = 144,451/x
  3. Step 3: Cross multiply
    99,221x = 144,451 × 144,451
  4. Step 4: Simplify right side
    99,221x = 20,866,091,401
  5. Step 5: Solve for x
    x = 20,866,091,401/99,221
  6. Step 6: Final answer
    x = 210,299.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.