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Finding the Third Proportional to 99,506 and 150,699

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Solution

The third proportional to 99,506 and 150,699 is: 228,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,506 : 150,699 = 150,699 : x
  2. Step 2: Convert to fraction form
    99,506/150,699 = 150,699/x
  3. Step 3: Cross multiply
    99,506x = 150,699 × 150,699
  4. Step 4: Simplify right side
    99,506x = 22,710,188,601
  5. Step 5: Solve for x
    x = 22,710,188,601/99,506
  6. Step 6: Final answer
    x = 228,229.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.