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Finding the Third Proportional to 217,575,998.25 and 469,608,135.75

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Solution

The third proportional to 217,575,998.25 and 469,608,135.75 is: 1,013,585,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,575,998.25 : 469,608,135.75 = 469,608,135.75 : x
  2. Step 2: Convert to fraction form
    217,575,998.25/469,608,135.75 = 469,608,135.75/x
  3. Step 3: Cross multiply
    217,575,998.25x = 469,608,135.75 × 469,608,135.75
  4. Step 4: Simplify right side
    217,575,998.25x = 220,531,801,162,590,432
  5. Step 5: Solve for x
    x = 220,531,801,162,590,432/217,575,998.25
  6. Step 6: Final answer
    x = 1,013,585,151.56

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