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Finding the Third Proportional to 96,234,099 and 224,553,991.50

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Solution

The third proportional to 96,234,099 and 224,553,991.50 is: 523,977,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234,099 : 224,553,991.50 = 224,553,991.50 : x
  2. Step 2: Convert to fraction form
    96,234,099/224,553,991.50 = 224,553,991.50/x
  3. Step 3: Cross multiply
    96,234,099x = 224,553,991.50 × 224,553,991.50
  4. Step 4: Simplify right side
    96,234,099x = 50,424,495,098,582,072
  5. Step 5: Solve for x
    x = 50,424,495,098,582,072/96,234,099
  6. Step 6: Final answer
    x = 523,977,421.96

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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.