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Finding the Third Proportional to 206,949,582 and 324,643,276.50

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Solution

The third proportional to 206,949,582 and 324,643,276.50 is: 509,270,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,949,582 : 324,643,276.50 = 324,643,276.50 : x
  2. Step 2: Convert to fraction form
    206,949,582/324,643,276.50 = 324,643,276.50/x
  3. Step 3: Cross multiply
    206,949,582x = 324,643,276.50 × 324,643,276.50
  4. Step 4: Simplify right side
    206,949,582x = 105,393,256,976,655,456
  5. Step 5: Solve for x
    x = 105,393,256,976,655,456/206,949,582
  6. Step 6: Final answer
    x = 509,270,209.48

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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.