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Finding the Third Proportional to 125,620,032 and 189,059,040

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Solution

The third proportional to 125,620,032 and 189,059,040 is: 284,535,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,620,032 : 189,059,040 = 189,059,040 : x
  2. Step 2: Convert to fraction form
    125,620,032/189,059,040 = 189,059,040/x
  3. Step 3: Cross multiply
    125,620,032x = 189,059,040 × 189,059,040
  4. Step 4: Simplify right side
    125,620,032x = 35,743,320,605,721,600
  5. Step 5: Solve for x
    x = 35,743,320,605,721,600/125,620,032
  6. Step 6: Final answer
    x = 284,535,197.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.