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Finding the Third Proportional to 133,043,970 and 199,023,459

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Solution

The third proportional to 133,043,970 and 199,023,459 is: 297,723,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043,970 : 199,023,459 = 199,023,459 : x
  2. Step 2: Convert to fraction form
    133,043,970/199,023,459 = 199,023,459/x
  3. Step 3: Cross multiply
    133,043,970x = 199,023,459 × 199,023,459
  4. Step 4: Simplify right side
    133,043,970x = 39,610,337,232,324,680
  5. Step 5: Solve for x
    x = 39,610,337,232,324,680/133,043,970
  6. Step 6: Final answer
    x = 297,723,656.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.