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Finding the Third Proportional to 103,659,378 and 239,978,011

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Solution

The third proportional to 103,659,378 and 239,978,011 is: 555,564,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659,378 : 239,978,011 = 239,978,011 : x
  2. Step 2: Convert to fraction form
    103,659,378/239,978,011 = 239,978,011/x
  3. Step 3: Cross multiply
    103,659,378x = 239,978,011 × 239,978,011
  4. Step 4: Simplify right side
    103,659,378x = 57,589,445,763,516,120
  5. Step 5: Solve for x
    x = 57,589,445,763,516,120/103,659,378
  6. Step 6: Final answer
    x = 555,564,261.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.