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Finding the Third Proportional to 206,949,581 and 324,643,275

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Solution

The third proportional to 206,949,581 and 324,643,275 is: 509,270,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,949,581 : 324,643,275 = 324,643,275 : x
  2. Step 2: Convert to fraction form
    206,949,581/324,643,275 = 324,643,275/x
  3. Step 3: Cross multiply
    206,949,581x = 324,643,275 × 324,643,275
  4. Step 4: Simplify right side
    206,949,581x = 105,393,256,002,725,632
  5. Step 5: Solve for x
    x = 105,393,256,002,725,632/206,949,581
  6. Step 6: Final answer
    x = 509,270,207.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.