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Finding the Third Proportional to 128,509,264 and 195,777,032

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Solution

The third proportional to 128,509,264 and 195,777,032 is: 298,255,900.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,509,264 : 195,777,032 = 195,777,032 : x
  2. Step 2: Convert to fraction form
    128,509,264/195,777,032 = 195,777,032/x
  3. Step 3: Cross multiply
    128,509,264x = 195,777,032 × 195,777,032
  4. Step 4: Simplify right side
    128,509,264x = 38,328,646,258,729,024
  5. Step 5: Solve for x
    x = 38,328,646,258,729,024/128,509,264
  6. Step 6: Final answer
    x = 298,255,900.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.