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Finding the Third Proportional to 89,445,714.75 and 189,204,399

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Solution

The third proportional to 89,445,714.75 and 189,204,399 is: 400,223,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,445,714.75 : 189,204,399 = 189,204,399 : x
  2. Step 2: Convert to fraction form
    89,445,714.75/189,204,399 = 189,204,399/x
  3. Step 3: Cross multiply
    89,445,714.75x = 189,204,399 × 189,204,399
  4. Step 4: Simplify right side
    89,445,714.75x = 35,798,304,600,951,200
  5. Step 5: Solve for x
    x = 35,798,304,600,951,200/89,445,714.75
  6. Step 6: Final answer
    x = 400,223,808.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.