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Finding the Third Proportional to 99,216 and 149,747

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Solution

The third proportional to 99,216 and 149,747 is: 226,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,216 : 149,747 = 149,747 : x
  2. Step 2: Convert to fraction form
    99,216/149,747 = 149,747/x
  3. Step 3: Cross multiply
    99,216x = 149,747 × 149,747
  4. Step 4: Simplify right side
    99,216x = 22,424,164,009
  5. Step 5: Solve for x
    x = 22,424,164,009/99,216
  6. Step 6: Final answer
    x = 226,013.59

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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.