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Finding the Third Proportional to 46,722,096 and 101,851,293.38

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Solution

The third proportional to 46,722,096 and 101,851,293.38 is: 222,029,550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,722,096 : 101,851,293.38 = 101,851,293.38 : x
  2. Step 2: Convert to fraction form
    46,722,096/101,851,293.38 = 101,851,293.38/x
  3. Step 3: Cross multiply
    46,722,096x = 101,851,293.38 × 101,851,293.38
  4. Step 4: Simplify right side
    46,722,096x = 10,373,685,962,160,318
  5. Step 5: Solve for x
    x = 10,373,685,962,160,318/46,722,096
  6. Step 6: Final answer
    x = 222,029,550.26

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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.