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Finding the Third Proportional to 100,536,277,584 and 149,932,577,520

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Solution

The third proportional to 100,536,277,584 and 149,932,577,520 is: 223,598,668,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,536,277,584 : 149,932,577,520 = 149,932,577,520 : x
  2. Step 2: Convert to fraction form
    100,536,277,584/149,932,577,520 = 149,932,577,520/x
  3. Step 3: Cross multiply
    100,536,277,584x = 149,932,577,520 × 149,932,577,520
  4. Step 4: Simplify right side
    100,536,277,584x = 22,479,777,801,790,809,964,544
  5. Step 5: Solve for x
    x = 22,479,777,801,790,809,964,544/100,536,277,584
  6. Step 6: Final answer
    x = 223,598,668,480.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.