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Finding the Third Proportional to 150,623,826 and 232,752,174

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Solution

The third proportional to 150,623,826 and 232,752,174 is: 359,661,389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,623,826 : 232,752,174 = 232,752,174 : x
  2. Step 2: Convert to fraction form
    150,623,826/232,752,174 = 232,752,174/x
  3. Step 3: Cross multiply
    150,623,826x = 232,752,174 × 232,752,174
  4. Step 4: Simplify right side
    150,623,826x = 54,173,574,501,726,272
  5. Step 5: Solve for x
    x = 54,173,574,501,726,272/150,623,826
  6. Step 6: Final answer
    x = 359,661,389.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.