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Finding the Third Proportional to 89,181,108 and 195,899,764.50

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Solution

The third proportional to 89,181,108 and 195,899,764.50 is: 430,323,401.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,181,108 : 195,899,764.50 = 195,899,764.50 : x
  2. Step 2: Convert to fraction form
    89,181,108/195,899,764.50 = 195,899,764.50/x
  3. Step 3: Cross multiply
    89,181,108x = 195,899,764.50 × 195,899,764.50
  4. Step 4: Simplify right side
    89,181,108x = 38,376,717,731,155,464
  5. Step 5: Solve for x
    x = 38,376,717,731,155,464/89,181,108
  6. Step 6: Final answer
    x = 430,323,401.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.