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Finding the Third Proportional to 53,444.81 and 116,913.38

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Solution

The third proportional to 53,444.81 and 116,913.38 is: 255,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,444.81 : 116,913.38 = 116,913.38 : x
  2. Step 2: Convert to fraction form
    53,444.81/116,913.38 = 116,913.38/x
  3. Step 3: Cross multiply
    53,444.81x = 116,913.38 × 116,913.38
  4. Step 4: Simplify right side
    53,444.81x = 13,668,737,253.89
  5. Step 5: Solve for x
    x = 13,668,737,253.89/53,444.81
  6. Step 6: Final answer
    x = 255,754.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.