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Finding the Third Proportional to 45,813 and 99,458

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Solution

The third proportional to 45,813 and 99,458 is: 215,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,813 : 99,458 = 99,458 : x
  2. Step 2: Convert to fraction form
    45,813/99,458 = 99,458/x
  3. Step 3: Cross multiply
    45,813x = 99,458 × 99,458
  4. Step 4: Simplify right side
    45,813x = 9,891,893,764
  5. Step 5: Solve for x
    x = 9,891,893,764/45,813
  6. Step 6: Final answer
    x = 215,918.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.