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Finding the Third Proportional to 45,315 and 99,384

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Solution

The third proportional to 45,315 and 99,384 is: 217,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,315 : 99,384 = 99,384 : x
  2. Step 2: Convert to fraction form
    45,315/99,384 = 99,384/x
  3. Step 3: Cross multiply
    45,315x = 99,384 × 99,384
  4. Step 4: Simplify right side
    45,315x = 9,877,179,456
  5. Step 5: Solve for x
    x = 9,877,179,456/45,315
  6. Step 6: Final answer
    x = 217,967.11

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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.