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Finding the Third Proportional to 214,810,261.03 and 318,188,680.31

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Solution

The third proportional to 214,810,261.03 and 318,188,680.31 is: 471,318,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,810,261.03 : 318,188,680.31 = 318,188,680.31 : x
  2. Step 2: Convert to fraction form
    214,810,261.03/318,188,680.31 = 318,188,680.31/x
  3. Step 3: Cross multiply
    214,810,261.03x = 318,188,680.31 × 318,188,680.31
  4. Step 4: Simplify right side
    214,810,261.03x = 101,244,036,279,010,320
  5. Step 5: Solve for x
    x = 101,244,036,279,010,320/214,810,261.03
  6. Step 6: Final answer
    x = 471,318,436.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.