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Finding the Third Proportional to 214,110,561 and 340,691,993.25

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Solution

The third proportional to 214,110,561 and 340,691,993.25 is: 542,107,935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,110,561 : 340,691,993.25 = 340,691,993.25 : x
  2. Step 2: Convert to fraction form
    214,110,561/340,691,993.25 = 340,691,993.25/x
  3. Step 3: Cross multiply
    214,110,561x = 340,691,993.25 × 340,691,993.25
  4. Step 4: Simplify right side
    214,110,561x = 116,071,034,264,658,048
  5. Step 5: Solve for x
    x = 116,071,034,264,658,048/214,110,561
  6. Step 6: Final answer
    x = 542,107,935.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.