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Finding the Third Proportional to 189,864.84 and 415,195.88

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Solution

The third proportional to 189,864.84 and 415,195.88 is: 907,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,864.84 : 415,195.88 = 415,195.88 : x
  2. Step 2: Convert to fraction form
    189,864.84/415,195.88 = 415,195.88/x
  3. Step 3: Cross multiply
    189,864.84x = 415,195.88 × 415,195.88
  4. Step 4: Simplify right side
    189,864.84x = 172,387,614,617.02
  5. Step 5: Solve for x
    x = 172,387,614,617.02/189,864.84
  6. Step 6: Final answer
    x = 907,949.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.