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Finding the Third Proportional to 86,934.94 and 184,531.50

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Solution

The third proportional to 86,934.94 and 184,531.50 is: 391,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,934.94 : 184,531.50 = 184,531.50 : x
  2. Step 2: Convert to fraction form
    86,934.94/184,531.50 = 184,531.50/x
  3. Step 3: Cross multiply
    86,934.94x = 184,531.50 × 184,531.50
  4. Step 4: Simplify right side
    86,934.94x = 34,051,874,492.25
  5. Step 5: Solve for x
    x = 34,051,874,492.25/86,934.94
  6. Step 6: Final answer
    x = 391,693.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.