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Finding the Third Proportional to 86,543,256,692 and 187,984,447,762

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Solution

The third proportional to 86,543,256,692 and 187,984,447,762 is: 408,329,359,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,543,256,692 : 187,984,447,762 = 187,984,447,762 : x
  2. Step 2: Convert to fraction form
    86,543,256,692/187,984,447,762 = 187,984,447,762/x
  3. Step 3: Cross multiply
    86,543,256,692x = 187,984,447,762 × 187,984,447,762
  4. Step 4: Simplify right side
    86,543,256,692x = 35,338,152,600,384,107,970,560
  5. Step 5: Solve for x
    x = 35,338,152,600,384,107,970,560/86,543,256,692
  6. Step 6: Final answer
    x = 408,329,359,803.84

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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.