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Finding the Third Proportional to 87,219,142,248 and 189,323,780,638

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Solution

The third proportional to 87,219,142,248 and 189,323,780,638 is: 410,959,027,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,219,142,248 : 189,323,780,638 = 189,323,780,638 : x
  2. Step 2: Convert to fraction form
    87,219,142,248/189,323,780,638 = 189,323,780,638/x
  3. Step 3: Cross multiply
    87,219,142,248x = 189,323,780,638 × 189,323,780,638
  4. Step 4: Simplify right side
    87,219,142,248x = 35,843,493,915,065,541,722,112
  5. Step 5: Solve for x
    x = 35,843,493,915,065,541,722,112/87,219,142,248
  6. Step 6: Final answer
    x = 410,959,027,929.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.