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Finding the Third Proportional to 105,648.47 and 234,918.56

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Solution

The third proportional to 105,648.47 and 234,918.56 is: 522,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,648.47 : 234,918.56 = 234,918.56 : x
  2. Step 2: Convert to fraction form
    105,648.47/234,918.56 = 234,918.56/x
  3. Step 3: Cross multiply
    105,648.47x = 234,918.56 × 234,918.56
  4. Step 4: Simplify right side
    105,648.47x = 55,186,731,007.07
  5. Step 5: Solve for x
    x = 55,186,731,007.07/105,648.47
  6. Step 6: Final answer
    x = 522,361.86

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.