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Finding the Third Proportional to 312,190,258.22 and 694,181,329.88

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Solution

The third proportional to 312,190,258.22 and 694,181,329.88 is: 1,543,570,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,190,258.22 : 694,181,329.88 = 694,181,329.88 : x
  2. Step 2: Convert to fraction form
    312,190,258.22/694,181,329.88 = 694,181,329.88/x
  3. Step 3: Cross multiply
    312,190,258.22x = 694,181,329.88 × 694,181,329.88
  4. Step 4: Simplify right side
    312,190,258.22x = 481,887,718,747,023,552
  5. Step 5: Solve for x
    x = 481,887,718,747,023,552/312,190,258.22
  6. Step 6: Final answer
    x = 1,543,570,646.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.