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Finding the Third Proportional to 86,617 and 189,784

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Solution

The third proportional to 86,617 and 189,784 is: 415,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,617 : 189,784 = 189,784 : x
  2. Step 2: Convert to fraction form
    86,617/189,784 = 189,784/x
  3. Step 3: Cross multiply
    86,617x = 189,784 × 189,784
  4. Step 4: Simplify right side
    86,617x = 36,017,966,656
  5. Step 5: Solve for x
    x = 36,017,966,656/86,617
  6. Step 6: Final answer
    x = 415,830.23

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Why These Related Problems?

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