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Finding the Third Proportional to 128,334,375 and 277,123,032

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Solution

The third proportional to 128,334,375 and 277,123,032 is: 598,414,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,334,375 : 277,123,032 = 277,123,032 : x
  2. Step 2: Convert to fraction form
    128,334,375/277,123,032 = 277,123,032/x
  3. Step 3: Cross multiply
    128,334,375x = 277,123,032 × 277,123,032
  4. Step 4: Simplify right side
    128,334,375x = 76,797,174,864,873,024
  5. Step 5: Solve for x
    x = 76,797,174,864,873,024/128,334,375
  6. Step 6: Final answer
    x = 598,414,687.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.