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Finding the Third Proportional to 45,424 and 99,488

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Solution

The third proportional to 45,424 and 99,488 is: 217,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,424 : 99,488 = 99,488 : x
  2. Step 2: Convert to fraction form
    45,424/99,488 = 99,488/x
  3. Step 3: Cross multiply
    45,424x = 99,488 × 99,488
  4. Step 4: Simplify right side
    45,424x = 9,897,862,144
  5. Step 5: Solve for x
    x = 9,897,862,144/45,424
  6. Step 6: Final answer
    x = 217,899.40

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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.