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Finding the Third Proportional to 49,735,318.50 and 107,028,911

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Solution

The third proportional to 49,735,318.50 and 107,028,911 is: 230,323,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735,318.50 : 107,028,911 = 107,028,911 : x
  2. Step 2: Convert to fraction form
    49,735,318.50/107,028,911 = 107,028,911/x
  3. Step 3: Cross multiply
    49,735,318.50x = 107,028,911 × 107,028,911
  4. Step 4: Simplify right side
    49,735,318.50x = 11,455,187,789,845,920
  5. Step 5: Solve for x
    x = 11,455,187,789,845,920/49,735,318.50
  6. Step 6: Final answer
    x = 230,323,000.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.