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Finding the Third Proportional to 111,416,253,061.50 and 244,720,529,190

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Solution

The third proportional to 111,416,253,061.50 and 244,720,529,190 is: 537,517,065,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,416,253,061.50 : 244,720,529,190 = 244,720,529,190 : x
  2. Step 2: Convert to fraction form
    111,416,253,061.50/244,720,529,190 = 244,720,529,190/x
  3. Step 3: Cross multiply
    111,416,253,061.50x = 244,720,529,190 × 244,720,529,190
  4. Step 4: Simplify right side
    111,416,253,061.50x = 59,888,137,407,033,639,960,576
  5. Step 5: Solve for x
    x = 59,888,137,407,033,639,960,576/111,416,253,061.50
  6. Step 6: Final answer
    x = 537,517,065,611.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.