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Finding the Third Proportional to 133,224,511 and 199,836,753

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Solution

The third proportional to 133,224,511 and 199,836,753 is: 299,755,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,224,511 : 199,836,753 = 199,836,753 : x
  2. Step 2: Convert to fraction form
    133,224,511/199,836,753 = 199,836,753/x
  3. Step 3: Cross multiply
    133,224,511x = 199,836,753 × 199,836,753
  4. Step 4: Simplify right side
    133,224,511x = 39,934,727,849,583,008
  5. Step 5: Solve for x
    x = 39,934,727,849,583,008/133,224,511
  6. Step 6: Final answer
    x = 299,755,109.25

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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.