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Finding the Third Proportional to 49,814,830.50 and 109,436,655

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Solution

The third proportional to 49,814,830.50 and 109,436,655 is: 240,417,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,814,830.50 : 109,436,655 = 109,436,655 : x
  2. Step 2: Convert to fraction form
    49,814,830.50/109,436,655 = 109,436,655/x
  3. Step 3: Cross multiply
    49,814,830.50x = 109,436,655 × 109,436,655
  4. Step 4: Simplify right side
    49,814,830.50x = 11,976,381,457,589,024
  5. Step 5: Solve for x
    x = 11,976,381,457,589,024/49,814,830.50
  6. Step 6: Final answer
    x = 240,417,990.73

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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.