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Finding the Third Proportional to 167,832,470 and 259,202,004

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Solution

The third proportional to 167,832,470 and 259,202,004 is: 400,313,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,832,470 : 259,202,004 = 259,202,004 : x
  2. Step 2: Convert to fraction form
    167,832,470/259,202,004 = 259,202,004/x
  3. Step 3: Cross multiply
    167,832,470x = 259,202,004 × 259,202,004
  4. Step 4: Simplify right side
    167,832,470x = 67,185,678,877,616,016
  5. Step 5: Solve for x
    x = 67,185,678,877,616,016/167,832,470
  6. Step 6: Final answer
    x = 400,313,949.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.