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Finding the Third Proportional to 133,043,963 and 199,023,448

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Solution

The third proportional to 133,043,963 and 199,023,448 is: 297,723,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043,963 : 199,023,448 = 199,023,448 : x
  2. Step 2: Convert to fraction form
    133,043,963/199,023,448 = 199,023,448/x
  3. Step 3: Cross multiply
    133,043,963x = 199,023,448 × 199,023,448
  4. Step 4: Simplify right side
    133,043,963x = 39,610,332,853,808,704
  5. Step 5: Solve for x
    x = 39,610,332,853,808,704/133,043,963
  6. Step 6: Final answer
    x = 297,723,639.32

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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.