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Finding the Third Proportional to 87,219,142,254 and 189,323,780,650

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Solution

The third proportional to 87,219,142,254 and 189,323,780,650 is: 410,959,027,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,219,142,254 : 189,323,780,650 = 189,323,780,650 : x
  2. Step 2: Convert to fraction form
    87,219,142,254/189,323,780,650 = 189,323,780,650/x
  3. Step 3: Cross multiply
    87,219,142,254x = 189,323,780,650 × 189,323,780,650
  4. Step 4: Simplify right side
    87,219,142,254x = 35,843,493,919,609,315,131,392
  5. Step 5: Solve for x
    x = 35,843,493,919,609,315,131,392/87,219,142,254
  6. Step 6: Final answer
    x = 410,959,027,953.13

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Why These Related Problems?

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