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Finding the Third Proportional to 89,429.06 and 189,210.94

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Solution

The third proportional to 89,429.06 and 189,210.94 is: 400,326.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,429.06 : 189,210.94 = 189,210.94 : x
  2. Step 2: Convert to fraction form
    89,429.06/189,210.94 = 189,210.94/x
  3. Step 3: Cross multiply
    89,429.06x = 189,210.94 × 189,210.94
  4. Step 4: Simplify right side
    89,429.06x = 35,800,778,869.63
  5. Step 5: Solve for x
    x = 35,800,778,869.63/89,429.06
  6. Step 6: Final answer
    x = 400,326.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.