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Finding the Third Proportional to 206,684,074.50 and 306,151,708.50

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Solution

The third proportional to 206,684,074.50 and 306,151,708.50 is: 453,488,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,684,074.50 : 306,151,708.50 = 306,151,708.50 : x
  2. Step 2: Convert to fraction form
    206,684,074.50/306,151,708.50 = 306,151,708.50/x
  3. Step 3: Cross multiply
    206,684,074.50x = 306,151,708.50 × 306,151,708.50
  4. Step 4: Simplify right side
    206,684,074.50x = 93,728,868,617,468,976
  5. Step 5: Solve for x
    x = 93,728,868,617,468,976/206,684,074.50
  6. Step 6: Final answer
    x = 453,488,585.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.