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Finding the Third Proportional to 99,444 and 144,470

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Solution

The third proportional to 99,444 and 144,470 is: 209,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,444 : 144,470 = 144,470 : x
  2. Step 2: Convert to fraction form
    99,444/144,470 = 144,470/x
  3. Step 3: Cross multiply
    99,444x = 144,470 × 144,470
  4. Step 4: Simplify right side
    99,444x = 20,871,580,900
  5. Step 5: Solve for x
    x = 20,871,580,900/99,444
  6. Step 6: Final answer
    x = 209,882.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.