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Finding the Third Proportional to 86,913 and 179,409.94

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Solution

The third proportional to 86,913 and 179,409.94 is: 370,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,913 : 179,409.94 = 179,409.94 : x
  2. Step 2: Convert to fraction form
    86,913/179,409.94 = 179,409.94/x
  3. Step 3: Cross multiply
    86,913x = 179,409.94 × 179,409.94
  4. Step 4: Simplify right side
    86,913x = 32,187,925,673.75
  5. Step 5: Solve for x
    x = 32,187,925,673.75/86,913
  6. Step 6: Final answer
    x = 370,346.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.