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Finding the Third Proportional to 96,234,338 and 224,554,565

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Solution

The third proportional to 96,234,338 and 224,554,565 is: 523,978,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234,338 : 224,554,565 = 224,554,565 : x
  2. Step 2: Convert to fraction form
    96,234,338/224,554,565 = 224,554,565/x
  3. Step 3: Cross multiply
    96,234,338x = 224,554,565 × 224,554,565
  4. Step 4: Simplify right side
    96,234,338x = 50,424,752,662,339,224
  5. Step 5: Solve for x
    x = 50,424,752,662,339,224/96,234,338
  6. Step 6: Final answer
    x = 523,978,797.07

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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.