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Finding the Third Proportional to 127,248,774.50 and 194,571,014.25

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Solution

The third proportional to 127,248,774.50 and 194,571,014.25 is: 297,510,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,248,774.50 : 194,571,014.25 = 194,571,014.25 : x
  2. Step 2: Convert to fraction form
    127,248,774.50/194,571,014.25 = 194,571,014.25/x
  3. Step 3: Cross multiply
    127,248,774.50x = 194,571,014.25 × 194,571,014.25
  4. Step 4: Simplify right side
    127,248,774.50x = 37,857,879,586,273,704
  5. Step 5: Solve for x
    x = 37,857,879,586,273,704/127,248,774.50
  6. Step 6: Final answer
    x = 297,510,759.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.