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Finding the Third Proportional to 106,194,796.88 and 233,463,708

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Solution

The third proportional to 106,194,796.88 and 233,463,708 is: 513,257,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,194,796.88 : 233,463,708 = 233,463,708 : x
  2. Step 2: Convert to fraction form
    106,194,796.88/233,463,708 = 233,463,708/x
  3. Step 3: Cross multiply
    106,194,796.88x = 233,463,708 × 233,463,708
  4. Step 4: Simplify right side
    106,194,796.88x = 54,505,302,953,109,264
  5. Step 5: Solve for x
    x = 54,505,302,953,109,264/106,194,796.88
  6. Step 6: Final answer
    x = 513,257,754.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.