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Finding the Third Proportional to 45,576 and 99,792

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Solution

The third proportional to 45,576 and 99,792 is: 218,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,576 : 99,792 = 99,792 : x
  2. Step 2: Convert to fraction form
    45,576/99,792 = 99,792/x
  3. Step 3: Cross multiply
    45,576x = 99,792 × 99,792
  4. Step 4: Simplify right side
    45,576x = 9,958,443,264
  5. Step 5: Solve for x
    x = 9,958,443,264/45,576
  6. Step 6: Final answer
    x = 218,501.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.