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Finding the Third Proportional to 96,234,340 and 224,554,570

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Solution

The third proportional to 96,234,340 and 224,554,570 is: 523,978,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234,340 : 224,554,570 = 224,554,570 : x
  2. Step 2: Convert to fraction form
    96,234,340/224,554,570 = 224,554,570/x
  3. Step 3: Cross multiply
    96,234,340x = 224,554,570 × 224,554,570
  4. Step 4: Simplify right side
    96,234,340x = 50,424,754,907,884,896
  5. Step 5: Solve for x
    x = 50,424,754,907,884,896/96,234,340
  6. Step 6: Final answer
    x = 523,978,809.52

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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.