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Finding the Third Proportional to 268,929,929.25 and 395,704,689.75

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Solution

The third proportional to 268,929,929.25 and 395,704,689.75 is: 582,241,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,929,929.25 : 395,704,689.75 = 395,704,689.75 : x
  2. Step 2: Convert to fraction form
    268,929,929.25/395,704,689.75 = 395,704,689.75/x
  3. Step 3: Cross multiply
    268,929,929.25x = 395,704,689.75 × 395,704,689.75
  4. Step 4: Simplify right side
    268,929,929.25x = 156,582,201,490,143,744
  5. Step 5: Solve for x
    x = 156,582,201,490,143,744/268,929,929.25
  6. Step 6: Final answer
    x = 582,241,634.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.