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Finding the Third Proportional to 92,650,226 and 199,660,400

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Solution

The third proportional to 92,650,226 and 199,660,400 is: 430,266,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,650,226 : 199,660,400 = 199,660,400 : x
  2. Step 2: Convert to fraction form
    92,650,226/199,660,400 = 199,660,400/x
  3. Step 3: Cross multiply
    92,650,226x = 199,660,400 × 199,660,400
  4. Step 4: Simplify right side
    92,650,226x = 39,864,275,328,160,000
  5. Step 5: Solve for x
    x = 39,864,275,328,160,000/92,650,226
  6. Step 6: Final answer
    x = 430,266,358.21

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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.