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Finding the Third Proportional to 189,597.19 and 266,681.82

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Solution

The third proportional to 189,597.19 and 266,681.82 is: 375,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,597.19 : 266,681.82 = 266,681.82 : x
  2. Step 2: Convert to fraction form
    189,597.19/266,681.82 = 266,681.82/x
  3. Step 3: Cross multiply
    189,597.19x = 266,681.82 × 266,681.82
  4. Step 4: Simplify right side
    189,597.19x = 71,119,193,806.04
  5. Step 5: Solve for x
    x = 71,119,193,806.04/189,597.19
  6. Step 6: Final answer
    x = 375,106.79

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