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Finding the Third Proportional to 157,194.84 and 222,214.64

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Solution

The third proportional to 157,194.84 and 222,214.64 is: 314,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,194.84 : 222,214.64 = 222,214.64 : x
  2. Step 2: Convert to fraction form
    157,194.84/222,214.64 = 222,214.64/x
  3. Step 3: Cross multiply
    157,194.84x = 222,214.64 × 222,214.64
  4. Step 4: Simplify right side
    157,194.84x = 49,379,346,508.10
  5. Step 5: Solve for x
    x = 49,379,346,508.10/157,194.84
  6. Step 6: Final answer
    x = 314,128.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.