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Finding the Third Proportional to 41,957,476 and 98,905,682

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Solution

The third proportional to 41,957,476 and 98,905,682 is: 233,148,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,957,476 : 98,905,682 = 98,905,682 : x
  2. Step 2: Convert to fraction form
    41,957,476/98,905,682 = 98,905,682/x
  3. Step 3: Cross multiply
    41,957,476x = 98,905,682 × 98,905,682
  4. Step 4: Simplify right side
    41,957,476x = 9,782,333,931,885,124
  5. Step 5: Solve for x
    x = 9,782,333,931,885,124/41,957,476
  6. Step 6: Final answer
    x = 233,148,770.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.