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Finding the Third Proportional to 87,531,231 and 202,619,220

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Solution

The third proportional to 87,531,231 and 202,619,220 is: 469,027,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,531,231 : 202,619,220 = 202,619,220 : x
  2. Step 2: Convert to fraction form
    87,531,231/202,619,220 = 202,619,220/x
  3. Step 3: Cross multiply
    87,531,231x = 202,619,220 × 202,619,220
  4. Step 4: Simplify right side
    87,531,231x = 41,054,548,313,408,400
  5. Step 5: Solve for x
    x = 41,054,548,313,408,400/87,531,231
  6. Step 6: Final answer
    x = 469,027,429.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.