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Finding the Third Proportional to 49,235,794.31 and 113,971,951.13

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Solution

The third proportional to 49,235,794.31 and 113,971,951.13 is: 263,824,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,235,794.31 : 113,971,951.13 = 113,971,951.13 : x
  2. Step 2: Convert to fraction form
    49,235,794.31/113,971,951.13 = 113,971,951.13/x
  3. Step 3: Cross multiply
    49,235,794.31x = 113,971,951.13 × 113,971,951.13
  4. Step 4: Simplify right side
    49,235,794.31x = 12,989,605,643,239,388
  5. Step 5: Solve for x
    x = 12,989,605,643,239,388/49,235,794.31
  6. Step 6: Final answer
    x = 263,824,435.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.