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Finding the Third Proportional to 109,616.63 and 236,719.13

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Solution

The third proportional to 109,616.63 and 236,719.13 is: 511,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,616.63 : 236,719.13 = 236,719.13 : x
  2. Step 2: Convert to fraction form
    109,616.63/236,719.13 = 236,719.13/x
  3. Step 3: Cross multiply
    109,616.63x = 236,719.13 × 236,719.13
  4. Step 4: Simplify right side
    109,616.63x = 56,035,944,140.77
  5. Step 5: Solve for x
    x = 56,035,944,140.77/109,616.63
  6. Step 6: Final answer
    x = 511,199.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.