Home / 106,976,845,236.80-233,175,388,306.36

Finding the Third Proportional to 106,976,845,236.80 and 233,175,388,306.36

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Solution

The third proportional to 106,976,845,236.80 and 233,175,388,306.36 is: 508,247,944,603.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,976,845,236.80 : 233,175,388,306.36 = 233,175,388,306.36 : x
  2. Step 2: Convert to fraction form
    106,976,845,236.80/233,175,388,306.36 = 233,175,388,306.36/x
  3. Step 3: Cross multiply
    106,976,845,236.80x = 233,175,388,306.36 × 233,175,388,306.36
  4. Step 4: Simplify right side
    106,976,845,236.80x = 54,370,761,711,821,759,971,328
  5. Step 5: Solve for x
    x = 54,370,761,711,821,759,971,328/106,976,845,236.80
  6. Step 6: Final answer
    x = 508,247,944,603.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.