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Finding the Third Proportional to 333,887,211 and 445,132,415.25

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Solution

The third proportional to 333,887,211 and 445,132,415.25 is: 593,442,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,887,211 : 445,132,415.25 = 445,132,415.25 : x
  2. Step 2: Convert to fraction form
    333,887,211/445,132,415.25 = 445,132,415.25/x
  3. Step 3: Cross multiply
    333,887,211x = 445,132,415.25 × 445,132,415.25
  4. Step 4: Simplify right side
    333,887,211x = 198,142,867,106,298,432
  5. Step 5: Solve for x
    x = 198,142,867,106,298,432/333,887,211
  6. Step 6: Final answer
    x = 593,442,517.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.