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Finding the Third Proportional to 86,344,100 and 176,156,600

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Solution

The third proportional to 86,344,100 and 176,156,600 is: 359,389,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,344,100 : 176,156,600 = 176,156,600 : x
  2. Step 2: Convert to fraction form
    86,344,100/176,156,600 = 176,156,600/x
  3. Step 3: Cross multiply
    86,344,100x = 176,156,600 × 176,156,600
  4. Step 4: Simplify right side
    86,344,100x = 31,031,147,723,560,000
  5. Step 5: Solve for x
    x = 31,031,147,723,560,000/86,344,100
  6. Step 6: Final answer
    x = 359,389,323.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.