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Finding the Third Proportional to 99,440 and 149,848

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Solution

The third proportional to 99,440 and 149,848 is: 225,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,440 : 149,848 = 149,848 : x
  2. Step 2: Convert to fraction form
    99,440/149,848 = 149,848/x
  3. Step 3: Cross multiply
    99,440x = 149,848 × 149,848
  4. Step 4: Simplify right side
    99,440x = 22,454,423,104
  5. Step 5: Solve for x
    x = 22,454,423,104/99,440
  6. Step 6: Final answer
    x = 225,808.76

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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.