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Finding the Third Proportional to 165,528,384 and 354,822,623

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Solution

The third proportional to 165,528,384 and 354,822,623 is: 760,589,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,528,384 : 354,822,623 = 354,822,623 : x
  2. Step 2: Convert to fraction form
    165,528,384/354,822,623 = 354,822,623/x
  3. Step 3: Cross multiply
    165,528,384x = 354,822,623 × 354,822,623
  4. Step 4: Simplify right side
    165,528,384x = 125,899,093,792,600,128
  5. Step 5: Solve for x
    x = 125,899,093,792,600,128/165,528,384
  6. Step 6: Final answer
    x = 760,589,155.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.