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Finding the Third Proportional to 41,102,243 and 89,440,108

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Solution

The third proportional to 41,102,243 and 89,440,108 is: 194,625,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102,243 : 89,440,108 = 89,440,108 : x
  2. Step 2: Convert to fraction form
    41,102,243/89,440,108 = 89,440,108/x
  3. Step 3: Cross multiply
    41,102,243x = 89,440,108 × 89,440,108
  4. Step 4: Simplify right side
    41,102,243x = 7,999,532,919,051,664
  5. Step 5: Solve for x
    x = 7,999,532,919,051,664/41,102,243
  6. Step 6: Final answer
    x = 194,625,215.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.