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Finding the Third Proportional to 148,785,986 and 320,371,204

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Solution

The third proportional to 148,785,986 and 320,371,204 is: 689,834,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,785,986 : 320,371,204 = 320,371,204 : x
  2. Step 2: Convert to fraction form
    148,785,986/320,371,204 = 320,371,204/x
  3. Step 3: Cross multiply
    148,785,986x = 320,371,204 × 320,371,204
  4. Step 4: Simplify right side
    148,785,986x = 102,637,708,352,409,616
  5. Step 5: Solve for x
    x = 102,637,708,352,409,616/148,785,986
  6. Step 6: Final answer
    x = 689,834,514.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.