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Finding the Third Proportional to 87,494,688 and 191,458,512

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Solution

The third proportional to 87,494,688 and 191,458,512 is: 418,955,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,494,688 : 191,458,512 = 191,458,512 : x
  2. Step 2: Convert to fraction form
    87,494,688/191,458,512 = 191,458,512/x
  3. Step 3: Cross multiply
    87,494,688x = 191,458,512 × 191,458,512
  4. Step 4: Simplify right side
    87,494,688x = 36,656,361,817,254,144
  5. Step 5: Solve for x
    x = 36,656,361,817,254,144/87,494,688
  6. Step 6: Final answer
    x = 418,955,283.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.