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Finding the Third Proportional to 148,701,810 and 322,107,972

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Solution

The third proportional to 148,701,810 and 322,107,972 is: 697,728,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,701,810 : 322,107,972 = 322,107,972 : x
  2. Step 2: Convert to fraction form
    148,701,810/322,107,972 = 322,107,972/x
  3. Step 3: Cross multiply
    148,701,810x = 322,107,972 × 322,107,972
  4. Step 4: Simplify right side
    148,701,810x = 103,753,545,625,952,784
  5. Step 5: Solve for x
    x = 103,753,545,625,952,784/148,701,810
  6. Step 6: Final answer
    x = 697,728,868.44

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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.