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Finding the Third Proportional to 206,949,579 and 324,643,272

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Solution

The third proportional to 206,949,579 and 324,643,272 is: 509,270,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,949,579 : 324,643,272 = 324,643,272 : x
  2. Step 2: Convert to fraction form
    206,949,579/324,643,272 = 324,643,272/x
  3. Step 3: Cross multiply
    206,949,579x = 324,643,272 × 324,643,272
  4. Step 4: Simplify right side
    206,949,579x = 105,393,254,054,865,984
  5. Step 5: Solve for x
    x = 105,393,254,054,865,984/206,949,579
  6. Step 6: Final answer
    x = 509,270,202.74

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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.