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Finding the Third Proportional to 87,219,142,244 and 189,323,780,630

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Solution

The third proportional to 87,219,142,244 and 189,323,780,630 is: 410,959,027,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,219,142,244 : 189,323,780,630 = 189,323,780,630 : x
  2. Step 2: Convert to fraction form
    87,219,142,244/189,323,780,630 = 189,323,780,630/x
  3. Step 3: Cross multiply
    87,219,142,244x = 189,323,780,630 × 189,323,780,630
  4. Step 4: Simplify right side
    87,219,142,244x = 35,843,493,912,036,365,041,664
  5. Step 5: Solve for x
    x = 35,843,493,912,036,365,041,664/87,219,142,244
  6. Step 6: Final answer
    x = 410,959,027,913.42

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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.