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Finding the Third Proportional to 49,959,193.50 and 74,938,785.75

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Solution

The third proportional to 49,959,193.50 and 74,938,785.75 is: 112,408,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,959,193.50 : 74,938,785.75 = 74,938,785.75 : x
  2. Step 2: Convert to fraction form
    49,959,193.50/74,938,785.75 = 74,938,785.75/x
  3. Step 3: Cross multiply
    49,959,193.50x = 74,938,785.75 × 74,938,785.75
  4. Step 4: Simplify right side
    49,959,193.50x = 5,615,821,609,684,403
  5. Step 5: Solve for x
    x = 5,615,821,609,684,403/49,959,193.50
  6. Step 6: Final answer
    x = 112,408,171.88

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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.