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Finding the Third Proportional to 96,935.63 and 139,616.44

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Solution

The third proportional to 96,935.63 and 139,616.44 is: 201,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,935.63 : 139,616.44 = 139,616.44 : x
  2. Step 2: Convert to fraction form
    96,935.63/139,616.44 = 139,616.44/x
  3. Step 3: Cross multiply
    96,935.63x = 139,616.44 × 139,616.44
  4. Step 4: Simplify right side
    96,935.63x = 19,492,749,620.19
  5. Step 5: Solve for x
    x = 19,492,749,620.19/96,935.63
  6. Step 6: Final answer
    x = 201,089.64

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Why These Related Problems?

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