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Finding the Third Proportional to 187,150,968 and 417,333,744

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Solution

The third proportional to 187,150,968 and 417,333,744 is: 930,625,450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,150,968 : 417,333,744 = 417,333,744 : x
  2. Step 2: Convert to fraction form
    187,150,968/417,333,744 = 417,333,744/x
  3. Step 3: Cross multiply
    187,150,968x = 417,333,744 × 417,333,744
  4. Step 4: Simplify right side
    187,150,968x = 174,167,453,881,057,536
  5. Step 5: Solve for x
    x = 174,167,453,881,057,536/187,150,968
  6. Step 6: Final answer
    x = 930,625,450.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.