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Finding the Third Proportional to 106,976,845,286 and 233,175,388,390

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Solution

The third proportional to 106,976,845,286 and 233,175,388,390 is: 508,247,944,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,976,845,286 : 233,175,388,390 = 233,175,388,390 : x
  2. Step 2: Convert to fraction form
    106,976,845,286/233,175,388,390 = 233,175,388,390/x
  3. Step 3: Cross multiply
    106,976,845,286x = 233,175,388,390 × 233,175,388,390
  4. Step 4: Simplify right side
    106,976,845,286x = 54,370,761,750,827,344,330,752
  5. Step 5: Solve for x
    x = 54,370,761,750,827,344,330,752/106,976,845,286
  6. Step 6: Final answer
    x = 508,247,944,734.85

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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.