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Finding the Third Proportional to 66,885,025 and 103,371,234

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Solution

The third proportional to 66,885,025 and 103,371,234 is: 159,760,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,885,025 : 103,371,234 = 103,371,234 : x
  2. Step 2: Convert to fraction form
    66,885,025/103,371,234 = 103,371,234/x
  3. Step 3: Cross multiply
    66,885,025x = 103,371,234 × 103,371,234
  4. Step 4: Simplify right side
    66,885,025x = 10,685,612,018,682,756
  5. Step 5: Solve for x
    x = 10,685,612,018,682,756/66,885,025
  6. Step 6: Final answer
    x = 159,760,903.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.