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Finding the Third Proportional to 49,583,704.50 and 107,134,650

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Solution

The third proportional to 49,583,704.50 and 107,134,650 is: 231,483,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,583,704.50 : 107,134,650 = 107,134,650 : x
  2. Step 2: Convert to fraction form
    49,583,704.50/107,134,650 = 107,134,650/x
  3. Step 3: Cross multiply
    49,583,704.50x = 107,134,650 × 107,134,650
  4. Step 4: Simplify right side
    49,583,704.50x = 11,477,833,230,622,500
  5. Step 5: Solve for x
    x = 11,477,833,230,622,500/49,583,704.50
  6. Step 6: Final answer
    x = 231,483,979.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.