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Finding the Third Proportional to 54,052,890.75 and 116,608,830.75

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Solution

The third proportional to 54,052,890.75 and 116,608,830.75 is: 251,561,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,052,890.75 : 116,608,830.75 = 116,608,830.75 : x
  2. Step 2: Convert to fraction form
    54,052,890.75/116,608,830.75 = 116,608,830.75/x
  3. Step 3: Cross multiply
    54,052,890.75x = 116,608,830.75 × 116,608,830.75
  4. Step 4: Simplify right side
    54,052,890.75x = 13,597,619,408,882,146
  5. Step 5: Solve for x
    x = 13,597,619,408,882,146/54,052,890.75
  6. Step 6: Final answer
    x = 251,561,372.95

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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.