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Finding the Third Proportional to 89,507,359 and 192,787,349

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Solution

The third proportional to 89,507,359 and 192,787,349 is: 415,239,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,507,359 : 192,787,349 = 192,787,349 : x
  2. Step 2: Convert to fraction form
    89,507,359/192,787,349 = 192,787,349/x
  3. Step 3: Cross multiply
    89,507,359x = 192,787,349 × 192,787,349
  4. Step 4: Simplify right side
    89,507,359x = 37,166,961,934,447,800
  5. Step 5: Solve for x
    x = 37,166,961,934,447,800/89,507,359
  6. Step 6: Final answer
    x = 415,239,175.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.