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Finding the Third Proportional to 57,980,719.50 and 124,261,203.75

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Solution

The third proportional to 57,980,719.50 and 124,261,203.75 is: 266,310,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,980,719.50 : 124,261,203.75 = 124,261,203.75 : x
  2. Step 2: Convert to fraction form
    57,980,719.50/124,261,203.75 = 124,261,203.75/x
  3. Step 3: Cross multiply
    57,980,719.50x = 124,261,203.75 × 124,261,203.75
  4. Step 4: Simplify right side
    57,980,719.50x = 15,440,846,757,399,014
  5. Step 5: Solve for x
    x = 15,440,846,757,399,014/57,980,719.50
  6. Step 6: Final answer
    x = 266,310,023.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.