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Finding the Third Proportional to 148,701,860 and 322,108,072

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Solution

The third proportional to 148,701,860 and 322,108,072 is: 697,729,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,701,860 : 322,108,072 = 322,108,072 : x
  2. Step 2: Convert to fraction form
    148,701,860/322,108,072 = 322,108,072/x
  3. Step 3: Cross multiply
    148,701,860x = 322,108,072 × 322,108,072
  4. Step 4: Simplify right side
    148,701,860x = 103,753,610,047,557,184
  5. Step 5: Solve for x
    x = 103,753,610,047,557,184/148,701,860
  6. Step 6: Final answer
    x = 697,729,067.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.