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Finding the Third Proportional to 96,244,825.50 and 207,830,470.50

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Solution

The third proportional to 96,244,825.50 and 207,830,470.50 is: 448,787,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,244,825.50 : 207,830,470.50 = 207,830,470.50 : x
  2. Step 2: Convert to fraction form
    96,244,825.50/207,830,470.50 = 207,830,470.50/x
  3. Step 3: Cross multiply
    96,244,825.50x = 207,830,470.50 × 207,830,470.50
  4. Step 4: Simplify right side
    96,244,825.50x = 43,193,504,468,251,368
  5. Step 5: Solve for x
    x = 43,193,504,468,251,368/96,244,825.50
  6. Step 6: Final answer
    x = 448,787,810.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.