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Finding the Third Proportional to 99,543 and 154,147.50

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Solution

The third proportional to 99,543 and 154,147.50 is: 238,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,543 : 154,147.50 = 154,147.50 : x
  2. Step 2: Convert to fraction form
    99,543/154,147.50 = 154,147.50/x
  3. Step 3: Cross multiply
    99,543x = 154,147.50 × 154,147.50
  4. Step 4: Simplify right side
    99,543x = 23,761,451,756.25
  5. Step 5: Solve for x
    x = 23,761,451,756.25/99,543
  6. Step 6: Final answer
    x = 238,705.40

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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.