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Finding the Third Proportional to 114,914,168.44 and 161,247,342.94

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Solution

The third proportional to 114,914,168.44 and 161,247,342.94 is: 226,261,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,914,168.44 : 161,247,342.94 = 161,247,342.94 : x
  2. Step 2: Convert to fraction form
    114,914,168.44/161,247,342.94 = 161,247,342.94/x
  3. Step 3: Cross multiply
    114,914,168.44x = 161,247,342.94 × 161,247,342.94
  4. Step 4: Simplify right side
    114,914,168.44x = 26,000,705,604,403,732
  5. Step 5: Solve for x
    x = 26,000,705,604,403,732/114,914,168.44
  6. Step 6: Final answer
    x = 226,261,965.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.