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Finding the Third Proportional to 99,705 and 215,061

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Solution

The third proportional to 99,705 and 215,061 is: 463,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,705 : 215,061 = 215,061 : x
  2. Step 2: Convert to fraction form
    99,705/215,061 = 215,061/x
  3. Step 3: Cross multiply
    99,705x = 215,061 × 215,061
  4. Step 4: Simplify right side
    99,705x = 46,251,233,721
  5. Step 5: Solve for x
    x = 46,251,233,721/99,705
  6. Step 6: Final answer
    x = 463,880.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.