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Finding the Third Proportional to 94,317 and 147,217.50

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Solution

The third proportional to 94,317 and 147,217.50 is: 229,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,317 : 147,217.50 = 147,217.50 : x
  2. Step 2: Convert to fraction form
    94,317/147,217.50 = 147,217.50/x
  3. Step 3: Cross multiply
    94,317x = 147,217.50 × 147,217.50
  4. Step 4: Simplify right side
    94,317x = 21,672,992,306.25
  5. Step 5: Solve for x
    x = 21,672,992,306.25/94,317
  6. Step 6: Final answer
    x = 229,788.82

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.