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Finding the Third Proportional to 114,503.63 and 158,218.88

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Solution

The third proportional to 114,503.63 and 158,218.88 is: 218,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,503.63 : 158,218.88 = 158,218.88 : x
  2. Step 2: Convert to fraction form
    114,503.63/158,218.88 = 158,218.88/x
  3. Step 3: Cross multiply
    114,503.63x = 158,218.88 × 158,218.88
  4. Step 4: Simplify right side
    114,503.63x = 25,033,212,406.27
  5. Step 5: Solve for x
    x = 25,033,212,406.27/114,503.63
  6. Step 6: Final answer
    x = 218,623.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.