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Finding the Third Proportional to 45,052.40 and 99,097.70

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Solution

The third proportional to 45,052.40 and 99,097.70 is: 217,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,052.40 : 99,097.70 = 99,097.70 : x
  2. Step 2: Convert to fraction form
    45,052.40/99,097.70 = 99,097.70/x
  3. Step 3: Cross multiply
    45,052.40x = 99,097.70 × 99,097.70
  4. Step 4: Simplify right side
    45,052.40x = 9,820,353,990.45
  5. Step 5: Solve for x
    x = 9,820,353,990.45/45,052.40
  6. Step 6: Final answer
    x = 217,976.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.