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Finding the Third Proportional to 48,096,051 and 103,750,375.50

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Solution

The third proportional to 48,096,051 and 103,750,375.50 is: 223,805,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,096,051 : 103,750,375.50 = 103,750,375.50 : x
  2. Step 2: Convert to fraction form
    48,096,051/103,750,375.50 = 103,750,375.50/x
  3. Step 3: Cross multiply
    48,096,051x = 103,750,375.50 × 103,750,375.50
  4. Step 4: Simplify right side
    48,096,051x = 10,764,140,416,391,000
  5. Step 5: Solve for x
    x = 10,764,140,416,391,000/48,096,051
  6. Step 6: Final answer
    x = 223,805,077.39

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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.