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Finding the Third Proportional to 73,693.13 and 157,890.94

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Solution

The third proportional to 73,693.13 and 157,890.94 is: 338,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,693.13 : 157,890.94 = 157,890.94 : x
  2. Step 2: Convert to fraction form
    73,693.13/157,890.94 = 157,890.94/x
  3. Step 3: Cross multiply
    73,693.13x = 157,890.94 × 157,890.94
  4. Step 4: Simplify right side
    73,693.13x = 24,929,548,144.63
  5. Step 5: Solve for x
    x = 24,929,548,144.63/73,693.13
  6. Step 6: Final answer
    x = 338,288.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.