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Finding the Third Proportional to 104,942,828 and 230,546,486

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Solution

The third proportional to 104,942,828 and 230,546,486 is: 506,482,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,942,828 : 230,546,486 = 230,546,486 : x
  2. Step 2: Convert to fraction form
    104,942,828/230,546,486 = 230,546,486/x
  3. Step 3: Cross multiply
    104,942,828x = 230,546,486 × 230,546,486
  4. Step 4: Simplify right side
    104,942,828x = 53,151,682,206,948,192
  5. Step 5: Solve for x
    x = 53,151,682,206,948,192/104,942,828
  6. Step 6: Final answer
    x = 506,482,274.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.