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Finding the Third Proportional to 76,189.78 and 157,755.94

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Solution

The third proportional to 76,189.78 and 157,755.94 is: 326,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,189.78 : 157,755.94 = 157,755.94 : x
  2. Step 2: Convert to fraction form
    76,189.78/157,755.94 = 157,755.94/x
  3. Step 3: Cross multiply
    76,189.78x = 157,755.94 × 157,755.94
  4. Step 4: Simplify right side
    76,189.78x = 24,886,935,816.50
  5. Step 5: Solve for x
    x = 24,886,935,816.50/76,189.78
  6. Step 6: Final answer
    x = 326,644.01

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.