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Finding the Third Proportional to 188,588,789,568 and 282,813,914,448

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Solution

The third proportional to 188,588,789,568 and 282,813,914,448 is: 424,116,992,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,588,789,568 : 282,813,914,448 = 282,813,914,448 : x
  2. Step 2: Convert to fraction form
    188,588,789,568/282,813,914,448 = 282,813,914,448/x
  3. Step 3: Cross multiply
    188,588,789,568x = 282,813,914,448 × 282,813,914,448
  4. Step 4: Simplify right side
    188,588,789,568x = 79,983,710,205,400,655,593,472
  5. Step 5: Solve for x
    x = 79,983,710,205,400,655,593,472/188,588,789,568
  6. Step 6: Final answer
    x = 424,116,992,259.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.