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Finding the Third Proportional to 45,407,231 and 96,868,624

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Solution

The third proportional to 45,407,231 and 96,868,624 is: 206,652,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,407,231 : 96,868,624 = 96,868,624 : x
  2. Step 2: Convert to fraction form
    45,407,231/96,868,624 = 96,868,624/x
  3. Step 3: Cross multiply
    45,407,231x = 96,868,624 × 96,868,624
  4. Step 4: Simplify right side
    45,407,231x = 9,383,530,315,653,376
  5. Step 5: Solve for x
    x = 9,383,530,315,653,376/45,407,231
  6. Step 6: Final answer
    x = 206,652,775.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.