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Finding the Third Proportional to 99,444 and 154,190

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Solution

The third proportional to 99,444 and 154,190 is: 239,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,444 : 154,190 = 154,190 : x
  2. Step 2: Convert to fraction form
    99,444/154,190 = 154,190/x
  3. Step 3: Cross multiply
    99,444x = 154,190 × 154,190
  4. Step 4: Simplify right side
    99,444x = 23,774,556,100
  5. Step 5: Solve for x
    x = 23,774,556,100/99,444
  6. Step 6: Final answer
    x = 239,074.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.