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Finding the Third Proportional to 141,878,416 and 305,635,568

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Solution

The third proportional to 141,878,416 and 305,635,568 is: 658,402,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,878,416 : 305,635,568 = 305,635,568 : x
  2. Step 2: Convert to fraction form
    141,878,416/305,635,568 = 305,635,568/x
  3. Step 3: Cross multiply
    141,878,416x = 305,635,568 × 305,635,568
  4. Step 4: Simplify right side
    141,878,416x = 93,413,100,426,682,624
  5. Step 5: Solve for x
    x = 93,413,100,426,682,624/141,878,416
  6. Step 6: Final answer
    x = 658,402,476.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.