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Finding the Third Proportional to 111,093.19 and 239,045.63

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Solution

The third proportional to 111,093.19 and 239,045.63 is: 514,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,093.19 : 239,045.63 = 239,045.63 : x
  2. Step 2: Convert to fraction form
    111,093.19/239,045.63 = 239,045.63/x
  3. Step 3: Cross multiply
    111,093.19x = 239,045.63 × 239,045.63
  4. Step 4: Simplify right side
    111,093.19x = 57,142,810,831.64
  5. Step 5: Solve for x
    x = 57,142,810,831.64/111,093.19
  6. Step 6: Final answer
    x = 514,368.27

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Why These Related Problems?

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