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Finding the Third Proportional to 206,870,612 and 450,061,664

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Solution

The third proportional to 206,870,612 and 450,061,664 is: 979,141,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,870,612 : 450,061,664 = 450,061,664 : x
  2. Step 2: Convert to fraction form
    206,870,612/450,061,664 = 450,061,664/x
  3. Step 3: Cross multiply
    206,870,612x = 450,061,664 × 450,061,664
  4. Step 4: Simplify right side
    206,870,612x = 202,555,501,402,448,896
  5. Step 5: Solve for x
    x = 202,555,501,402,448,896/206,870,612
  6. Step 6: Final answer
    x = 979,141,016.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.