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Finding the Third Proportional to 49,963,614.75 and 111,415,304.25

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Solution

The third proportional to 49,963,614.75 and 111,415,304.25 is: 248,448,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,963,614.75 : 111,415,304.25 = 111,415,304.25 : x
  2. Step 2: Convert to fraction form
    49,963,614.75/111,415,304.25 = 111,415,304.25/x
  3. Step 3: Cross multiply
    49,963,614.75x = 111,415,304.25 × 111,415,304.25
  4. Step 4: Simplify right side
    49,963,614.75x = 12,413,370,021,120,068
  5. Step 5: Solve for x
    x = 12,413,370,021,120,068/49,963,614.75
  6. Step 6: Final answer
    x = 248,448,197.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.