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Finding the Third Proportional to 201,889,233 and 431,757,837

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Solution

The third proportional to 201,889,233 and 431,757,837 is: 923,352,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,889,233 : 431,757,837 = 431,757,837 : x
  2. Step 2: Convert to fraction form
    201,889,233/431,757,837 = 431,757,837/x
  3. Step 3: Cross multiply
    201,889,233x = 431,757,837 × 431,757,837
  4. Step 4: Simplify right side
    201,889,233x = 186,414,829,810,918,560
  5. Step 5: Solve for x
    x = 186,414,829,810,918,560/201,889,233
  6. Step 6: Final answer
    x = 923,352,013.58

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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.