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Finding the Third Proportional to 206,949,573 and 324,643,261.50

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Solution

The third proportional to 206,949,573 and 324,643,261.50 is: 509,270,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,949,573 : 324,643,261.50 = 324,643,261.50 : x
  2. Step 2: Convert to fraction form
    206,949,573/324,643,261.50 = 324,643,261.50/x
  3. Step 3: Cross multiply
    206,949,573x = 324,643,261.50 × 324,643,261.50
  4. Step 4: Simplify right side
    206,949,573x = 105,393,247,237,357,376
  5. Step 5: Solve for x
    x = 105,393,247,237,357,376/206,949,573
  6. Step 6: Final answer
    x = 509,270,184.56

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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.