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Finding the Third Proportional to 94,314.38 and 147,212.44

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Solution

The third proportional to 94,314.38 and 147,212.44 is: 229,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,314.38 : 147,212.44 = 147,212.44 : x
  2. Step 2: Convert to fraction form
    94,314.38/147,212.44 = 147,212.44/x
  3. Step 3: Cross multiply
    94,314.38x = 147,212.44 × 147,212.44
  4. Step 4: Simplify right side
    94,314.38x = 21,671,501,754.69
  5. Step 5: Solve for x
    x = 21,671,501,754.69/94,314.38
  6. Step 6: Final answer
    x = 229,779.41

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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.