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Finding the Third Proportional to 51,100,306.50 and 76,631,698.50

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Solution

The third proportional to 51,100,306.50 and 76,631,698.50 is: 114,919,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,100,306.50 : 76,631,698.50 = 76,631,698.50 : x
  2. Step 2: Convert to fraction form
    51,100,306.50/76,631,698.50 = 76,631,698.50/x
  3. Step 3: Cross multiply
    51,100,306.50x = 76,631,698.50 × 76,631,698.50
  4. Step 4: Simplify right side
    51,100,306.50x = 5,872,417,214,994,902
  5. Step 5: Solve for x
    x = 5,872,417,214,994,902/51,100,306.50
  6. Step 6: Final answer
    x = 114,919,412.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.