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Finding the Third Proportional to 114,681,192,066 and 159,455,030,868

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Solution

The third proportional to 114,681,192,066 and 159,455,030,868 is: 221,709,474,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,681,192,066 : 159,455,030,868 = 159,455,030,868 : x
  2. Step 2: Convert to fraction form
    114,681,192,066/159,455,030,868 = 159,455,030,868/x
  3. Step 3: Cross multiply
    114,681,192,066x = 159,455,030,868 × 159,455,030,868
  4. Step 4: Simplify right side
    114,681,192,066x = 25,425,906,869,114,832,420,864
  5. Step 5: Solve for x
    x = 25,425,906,869,114,832,420,864/114,681,192,066
  6. Step 6: Final answer
    x = 221,709,474,858.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.