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Finding the Third Proportional to 88,116.19 and 186,278.06

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Solution

The third proportional to 88,116.19 and 186,278.06 is: 393,792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,116.19 : 186,278.06 = 186,278.06 : x
  2. Step 2: Convert to fraction form
    88,116.19/186,278.06 = 186,278.06/x
  3. Step 3: Cross multiply
    88,116.19x = 186,278.06 × 186,278.06
  4. Step 4: Simplify right side
    88,116.19x = 34,699,516,568.75
  5. Step 5: Solve for x
    x = 34,699,516,568.75/88,116.19
  6. Step 6: Final answer
    x = 393,792.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.