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Finding the Third Proportional to 122,586,432 and 182,816,600

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Solution

The third proportional to 122,586,432 and 182,816,600 is: 272,639,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,586,432 : 182,816,600 = 182,816,600 : x
  2. Step 2: Convert to fraction form
    122,586,432/182,816,600 = 182,816,600/x
  3. Step 3: Cross multiply
    122,586,432x = 182,816,600 × 182,816,600
  4. Step 4: Simplify right side
    122,586,432x = 33,421,909,235,560,000
  5. Step 5: Solve for x
    x = 33,421,909,235,560,000/122,586,432
  6. Step 6: Final answer
    x = 272,639,546.57

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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.