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Finding the Third Proportional to 88,624.76 and 189,705.16

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Solution

The third proportional to 88,624.76 and 189,705.16 is: 406,072.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,624.76 : 189,705.16 = 189,705.16 : x
  2. Step 2: Convert to fraction form
    88,624.76/189,705.16 = 189,705.16/x
  3. Step 3: Cross multiply
    88,624.76x = 189,705.16 × 189,705.16
  4. Step 4: Simplify right side
    88,624.76x = 35,988,049,271.98
  5. Step 5: Solve for x
    x = 35,988,049,271.98/88,624.76
  6. Step 6: Final answer
    x = 406,072.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.