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Finding the Third Proportional to 100,536,277,586 and 149,932,577,523

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Solution

The third proportional to 100,536,277,586 and 149,932,577,523 is: 223,598,668,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,536,277,586 : 149,932,577,523 = 149,932,577,523 : x
  2. Step 2: Convert to fraction form
    100,536,277,586/149,932,577,523 = 149,932,577,523/x
  3. Step 3: Cross multiply
    100,536,277,586x = 149,932,577,523 × 149,932,577,523
  4. Step 4: Simplify right side
    100,536,277,586x = 22,479,777,802,690,404,286,464
  5. Step 5: Solve for x
    x = 22,479,777,802,690,404,286,464/100,536,277,586
  6. Step 6: Final answer
    x = 223,598,668,485.22

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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.