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Finding the Third Proportional to 45,420 and 99,588

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Solution

The third proportional to 45,420 and 99,588 is: 218,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,420 : 99,588 = 99,588 : x
  2. Step 2: Convert to fraction form
    45,420/99,588 = 99,588/x
  3. Step 3: Cross multiply
    45,420x = 99,588 × 99,588
  4. Step 4: Simplify right side
    45,420x = 9,917,769,744
  5. Step 5: Solve for x
    x = 9,917,769,744/45,420
  6. Step 6: Final answer
    x = 218,356.89

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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.