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Finding the Third Proportional to 86,413 and 189,437

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Solution

The third proportional to 86,413 and 189,437 is: 415,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,413 : 189,437 = 189,437 : x
  2. Step 2: Convert to fraction form
    86,413/189,437 = 189,437/x
  3. Step 3: Cross multiply
    86,413x = 189,437 × 189,437
  4. Step 4: Simplify right side
    86,413x = 35,886,376,969
  5. Step 5: Solve for x
    x = 35,886,376,969/86,413
  6. Step 6: Final answer
    x = 415,289.10

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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.