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Finding the Third Proportional to 52,105,500 and 111,381,800

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Solution

The third proportional to 52,105,500 and 111,381,800 is: 238,092,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,105,500 : 111,381,800 = 111,381,800 : x
  2. Step 2: Convert to fraction form
    52,105,500/111,381,800 = 111,381,800/x
  3. Step 3: Cross multiply
    52,105,500x = 111,381,800 × 111,381,800
  4. Step 4: Simplify right side
    52,105,500x = 12,405,905,371,240,000
  5. Step 5: Solve for x
    x = 12,405,905,371,240,000/52,105,500
  6. Step 6: Final answer
    x = 238,092,051.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.