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Finding the Third Proportional to 268,510,575.38 and 401,112,202.50

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Solution

The third proportional to 268,510,575.38 and 401,112,202.50 is: 599,197,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,510,575.38 : 401,112,202.50 = 401,112,202.50 : x
  2. Step 2: Convert to fraction form
    268,510,575.38/401,112,202.50 = 401,112,202.50/x
  3. Step 3: Cross multiply
    268,510,575.38x = 401,112,202.50 × 401,112,202.50
  4. Step 4: Simplify right side
    268,510,575.38x = 160,890,998,994,400,992
  5. Step 5: Solve for x
    x = 160,890,998,994,400,992/268,510,575.38
  6. Step 6: Final answer
    x = 599,197,997.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.