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Finding the Third Proportional to 45,657 and 99,619

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Solution

The third proportional to 45,657 and 99,619 is: 217,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,657 : 99,619 = 99,619 : x
  2. Step 2: Convert to fraction form
    45,657/99,619 = 99,619/x
  3. Step 3: Cross multiply
    45,657x = 99,619 × 99,619
  4. Step 4: Simplify right side
    45,657x = 9,923,945,161
  5. Step 5: Solve for x
    x = 9,923,945,161/45,657
  6. Step 6: Final answer
    x = 217,358.68

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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.