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Finding the Third Proportional to 43,148,096 and 92,699,566

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Solution

The third proportional to 43,148,096 and 92,699,566 is: 199,156,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,148,096 : 92,699,566 = 92,699,566 : x
  2. Step 2: Convert to fraction form
    43,148,096/92,699,566 = 92,699,566/x
  3. Step 3: Cross multiply
    43,148,096x = 92,699,566 × 92,699,566
  4. Step 4: Simplify right side
    43,148,096x = 8,593,209,536,588,356
  5. Step 5: Solve for x
    x = 8,593,209,536,588,356/43,148,096
  6. Step 6: Final answer
    x = 199,156,169.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.