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Finding the Third Proportional to 87,219,142,252 and 189,323,780,646

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Solution

The third proportional to 87,219,142,252 and 189,323,780,646 is: 410,959,027,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,219,142,252 : 189,323,780,646 = 189,323,780,646 : x
  2. Step 2: Convert to fraction form
    87,219,142,252/189,323,780,646 = 189,323,780,646/x
  3. Step 3: Cross multiply
    87,219,142,252x = 189,323,780,646 × 189,323,780,646
  4. Step 4: Simplify right side
    87,219,142,252x = 35,843,493,918,094,722,596,864
  5. Step 5: Solve for x
    x = 35,843,493,918,094,722,596,864/87,219,142,252
  6. Step 6: Final answer
    x = 410,959,027,945.19

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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.