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Finding the Third Proportional to 80,894,025 and 114,462,612

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Solution

The third proportional to 80,894,025 and 114,462,612 is: 161,961,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,894,025 : 114,462,612 = 114,462,612 : x
  2. Step 2: Convert to fraction form
    80,894,025/114,462,612 = 114,462,612/x
  3. Step 3: Cross multiply
    80,894,025x = 114,462,612 × 114,462,612
  4. Step 4: Simplify right side
    80,894,025x = 13,101,689,545,862,544
  5. Step 5: Solve for x
    x = 13,101,689,545,862,544/80,894,025
  6. Step 6: Final answer
    x = 161,961,152.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.