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Finding the Third Proportional to 199,446.05 and 461,248.17

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Solution

The third proportional to 199,446.05 and 461,248.17 is: 1,066,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,446.05 : 461,248.17 = 461,248.17 : x
  2. Step 2: Convert to fraction form
    199,446.05/461,248.17 = 461,248.17/x
  3. Step 3: Cross multiply
    199,446.05x = 461,248.17 × 461,248.17
  4. Step 4: Simplify right side
    199,446.05x = 212,749,876,058.03
  5. Step 5: Solve for x
    x = 212,749,876,058.03/199,446.05
  6. Step 6: Final answer
    x = 1,066,703.90

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.