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Finding the Third Proportional to 47,269,998 and 102,822,165

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Solution

The third proportional to 47,269,998 and 102,822,165 is: 223,659,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,269,998 : 102,822,165 = 102,822,165 : x
  2. Step 2: Convert to fraction form
    47,269,998/102,822,165 = 102,822,165/x
  3. Step 3: Cross multiply
    47,269,998x = 102,822,165 × 102,822,165
  4. Step 4: Simplify right side
    47,269,998x = 10,572,397,615,287,224
  5. Step 5: Solve for x
    x = 10,572,397,615,287,224/47,269,998
  6. Step 6: Final answer
    x = 223,659,785.54

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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.