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Finding the Third Proportional to 199,853,426 and 445,659,633

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Solution

The third proportional to 199,853,426 and 445,659,633 is: 993,790,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,853,426 : 445,659,633 = 445,659,633 : x
  2. Step 2: Convert to fraction form
    199,853,426/445,659,633 = 445,659,633/x
  3. Step 3: Cross multiply
    199,853,426x = 445,659,633 × 445,659,633
  4. Step 4: Simplify right side
    199,853,426x = 198,612,508,485,694,688
  5. Step 5: Solve for x
    x = 198,612,508,485,694,688/199,853,426
  6. Step 6: Final answer
    x = 993,790,861.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.