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Finding the Third Proportional to 96,506.65 and 139,223.71

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Solution

The third proportional to 96,506.65 and 139,223.71 is: 200,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,506.65 : 139,223.71 = 139,223.71 : x
  2. Step 2: Convert to fraction form
    96,506.65/139,223.71 = 139,223.71/x
  3. Step 3: Cross multiply
    96,506.65x = 139,223.71 × 139,223.71
  4. Step 4: Simplify right side
    96,506.65x = 19,383,240,599.52
  5. Step 5: Solve for x
    x = 19,383,240,599.52/96,506.65
  6. Step 6: Final answer
    x = 200,848.76

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.