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Finding the Third Proportional to 46,179,726 and 100,397,280

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Solution

The third proportional to 46,179,726 and 100,397,280 is: 218,269,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,179,726 : 100,397,280 = 100,397,280 : x
  2. Step 2: Convert to fraction form
    46,179,726/100,397,280 = 100,397,280/x
  3. Step 3: Cross multiply
    46,179,726x = 100,397,280 × 100,397,280
  4. Step 4: Simplify right side
    46,179,726x = 10,079,613,831,398,400
  5. Step 5: Solve for x
    x = 10,079,613,831,398,400/46,179,726
  6. Step 6: Final answer
    x = 218,269,242.90

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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.