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Finding the Third Proportional to 109,071,837 and 233,260,218

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Solution

The third proportional to 109,071,837 and 233,260,218 is: 498,848,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,071,837 : 233,260,218 = 233,260,218 : x
  2. Step 2: Convert to fraction form
    109,071,837/233,260,218 = 233,260,218/x
  3. Step 3: Cross multiply
    109,071,837x = 233,260,218 × 233,260,218
  4. Step 4: Simplify right side
    109,071,837x = 54,410,329,301,407,520
  5. Step 5: Solve for x
    x = 54,410,329,301,407,520/109,071,837
  6. Step 6: Final answer
    x = 498,848,564.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.