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Finding the Third Proportional to 86,543,256,700 and 187,984,447,784

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Solution

The third proportional to 86,543,256,700 and 187,984,447,784 is: 408,329,359,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,543,256,700 : 187,984,447,784 = 187,984,447,784 : x
  2. Step 2: Convert to fraction form
    86,543,256,700/187,984,447,784 = 187,984,447,784/x
  3. Step 3: Cross multiply
    86,543,256,700x = 187,984,447,784 × 187,984,447,784
  4. Step 4: Simplify right side
    86,543,256,700x = 35,338,152,608,655,422,259,200
  5. Step 5: Solve for x
    x = 35,338,152,608,655,422,259,200/86,543,256,700
  6. Step 6: Final answer
    x = 408,329,359,861.67

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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.