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Finding the Third Proportional to 53,366.19 and 114,646.72

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Solution

The third proportional to 53,366.19 and 114,646.72 is: 246,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,366.19 : 114,646.72 = 114,646.72 : x
  2. Step 2: Convert to fraction form
    53,366.19/114,646.72 = 114,646.72/x
  3. Step 3: Cross multiply
    53,366.19x = 114,646.72 × 114,646.72
  4. Step 4: Simplify right side
    53,366.19x = 13,143,870,344.06
  5. Step 5: Solve for x
    x = 13,143,870,344.06/53,366.19
  6. Step 6: Final answer
    x = 246,295.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.