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Finding the Third Proportional to 163,680,660 and 354,605,022

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Solution

The third proportional to 163,680,660 and 354,605,022 is: 768,232,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,680,660 : 354,605,022 = 354,605,022 : x
  2. Step 2: Convert to fraction form
    163,680,660/354,605,022 = 354,605,022/x
  3. Step 3: Cross multiply
    163,680,660x = 354,605,022 × 354,605,022
  4. Step 4: Simplify right side
    163,680,660x = 125,744,721,627,620,480
  5. Step 5: Solve for x
    x = 125,744,721,627,620,480/163,680,660
  6. Step 6: Final answer
    x = 768,232,005.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.