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Finding the Third Proportional to 117,955,995,640 and 259,955,179,400

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Solution

The third proportional to 117,955,995,640 and 259,955,179,400 is: 572,897,502,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,955,995,640 : 259,955,179,400 = 259,955,179,400 : x
  2. Step 2: Convert to fraction form
    117,955,995,640/259,955,179,400 = 259,955,179,400/x
  3. Step 3: Cross multiply
    117,955,995,640x = 259,955,179,400 × 259,955,179,400
  4. Step 4: Simplify right side
    117,955,995,640x = 67,576,695,296,886,187,229,184
  5. Step 5: Solve for x
    x = 67,576,695,296,886,187,229,184/117,955,995,640
  6. Step 6: Final answer
    x = 572,897,502,413.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.