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Finding the Third Proportional to 109,009,674 and 239,206,458

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Solution

The third proportional to 109,009,674 and 239,206,458 is: 524,905,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,009,674 : 239,206,458 = 239,206,458 : x
  2. Step 2: Convert to fraction form
    109,009,674/239,206,458 = 239,206,458/x
  3. Step 3: Cross multiply
    109,009,674x = 239,206,458 × 239,206,458
  4. Step 4: Simplify right side
    109,009,674x = 57,219,729,548,905,760
  5. Step 5: Solve for x
    x = 57,219,729,548,905,760/109,009,674
  6. Step 6: Final answer
    x = 524,905,060.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.