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Finding the Third Proportional to 96,234,336 and 224,554,560

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Solution

The third proportional to 96,234,336 and 224,554,560 is: 523,978,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234,336 : 224,554,560 = 224,554,560 : x
  2. Step 2: Convert to fraction form
    96,234,336/224,554,560 = 224,554,560/x
  3. Step 3: Cross multiply
    96,234,336x = 224,554,560 × 224,554,560
  4. Step 4: Simplify right side
    96,234,336x = 50,424,750,416,793,600
  5. Step 5: Solve for x
    x = 50,424,750,416,793,600/96,234,336
  6. Step 6: Final answer
    x = 523,978,784.63

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.