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Finding the Third Proportional to 106,976,845,252 and 233,175,388,336

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Solution

The third proportional to 106,976,845,252 and 233,175,388,336 is: 508,247,944,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,976,845,252 : 233,175,388,336 = 233,175,388,336 : x
  2. Step 2: Convert to fraction form
    106,976,845,252/233,175,388,336 = 233,175,388,336/x
  3. Step 3: Cross multiply
    106,976,845,252x = 233,175,388,336 × 233,175,388,336
  4. Step 4: Simplify right side
    106,976,845,252x = 54,370,761,725,644,407,570,432
  5. Step 5: Solve for x
    x = 54,370,761,725,644,407,570,432/106,976,845,252
  6. Step 6: Final answer
    x = 508,247,944,660.98

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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.