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Finding the Third Proportional to 115,605,226 and 189,783,375

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Solution

The third proportional to 115,605,226 and 189,783,375 is: 311,557,969.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,605,226 : 189,783,375 = 189,783,375 : x
  2. Step 2: Convert to fraction form
    115,605,226/189,783,375 = 189,783,375/x
  3. Step 3: Cross multiply
    115,605,226x = 189,783,375 × 189,783,375
  4. Step 4: Simplify right side
    115,605,226x = 36,017,729,426,390,624
  5. Step 5: Solve for x
    x = 36,017,729,426,390,624/115,605,226
  6. Step 6: Final answer
    x = 311,557,969.07

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.