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Finding the Third Proportional to 121,181,056 and 191,916,704

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Solution

The third proportional to 121,181,056 and 191,916,704 is: 303,942,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,181,056 : 191,916,704 = 191,916,704 : x
  2. Step 2: Convert to fraction form
    121,181,056/191,916,704 = 191,916,704/x
  3. Step 3: Cross multiply
    121,181,056x = 191,916,704 × 191,916,704
  4. Step 4: Simplify right side
    121,181,056x = 36,832,021,274,223,616
  5. Step 5: Solve for x
    x = 36,832,021,274,223,616/121,181,056
  6. Step 6: Final answer
    x = 303,942,072.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.