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Finding the Third Proportional to 51,952,182.75 and 112,946,922

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Solution

The third proportional to 51,952,182.75 and 112,946,922 is: 245,552,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952,182.75 : 112,946,922 = 112,946,922 : x
  2. Step 2: Convert to fraction form
    51,952,182.75/112,946,922 = 112,946,922/x
  3. Step 3: Cross multiply
    51,952,182.75x = 112,946,922 × 112,946,922
  4. Step 4: Simplify right side
    51,952,182.75x = 12,757,007,189,274,084
  5. Step 5: Solve for x
    x = 12,757,007,189,274,084/51,952,182.75
  6. Step 6: Final answer
    x = 245,552,862.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.