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Finding the Third Proportional to 212,976,560.25 and 318,291,009.89

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Solution

The third proportional to 212,976,560.25 and 318,291,009.89 is: 475,682,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,976,560.25 : 318,291,009.89 = 318,291,009.89 : x
  2. Step 2: Convert to fraction form
    212,976,560.25/318,291,009.89 = 318,291,009.89/x
  3. Step 3: Cross multiply
    212,976,560.25x = 318,291,009.89 × 318,291,009.89
  4. Step 4: Simplify right side
    212,976,560.25x = 101,309,166,977,203,504
  5. Step 5: Solve for x
    x = 101,309,166,977,203,504/212,976,560.25
  6. Step 6: Final answer
    x = 475,682,238.73

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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.