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Finding the Third Proportional to 96,234,342 and 224,554,575

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Solution

The third proportional to 96,234,342 and 224,554,575 is: 523,978,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234,342 : 224,554,575 = 224,554,575 : x
  2. Step 2: Convert to fraction form
    96,234,342/224,554,575 = 224,554,575/x
  3. Step 3: Cross multiply
    96,234,342x = 224,554,575 × 224,554,575
  4. Step 4: Simplify right side
    96,234,342x = 50,424,757,153,430,624
  5. Step 5: Solve for x
    x = 50,424,757,153,430,624/96,234,342
  6. Step 6: Final answer
    x = 523,978,821.96

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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.