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Finding the Third Proportional to 114,848,221.50 and 176,530,020.75

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Solution

The third proportional to 114,848,221.50 and 176,530,020.75 is: 271,339,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,848,221.50 : 176,530,020.75 = 176,530,020.75 : x
  2. Step 2: Convert to fraction form
    114,848,221.50/176,530,020.75 = 176,530,020.75/x
  3. Step 3: Cross multiply
    114,848,221.50x = 176,530,020.75 × 176,530,020.75
  4. Step 4: Simplify right side
    114,848,221.50x = 31,162,848,225,995,432
  5. Step 5: Solve for x
    x = 31,162,848,225,995,432/114,848,221.50
  6. Step 6: Final answer
    x = 271,339,406.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.