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Finding the Third Proportional to 45,470 and 99,200

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Solution

The third proportional to 45,470 and 99,200 is: 216,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,470 : 99,200 = 99,200 : x
  2. Step 2: Convert to fraction form
    45,470/99,200 = 99,200/x
  3. Step 3: Cross multiply
    45,470x = 99,200 × 99,200
  4. Step 4: Simplify right side
    45,470x = 9,840,640,000
  5. Step 5: Solve for x
    x = 9,840,640,000/45,470
  6. Step 6: Final answer
    x = 216,420.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.