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Finding the Third Proportional to 36,316.78 and 78,468.94

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Solution

The third proportional to 36,316.78 and 78,468.94 is: 169,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,316.78 : 78,468.94 = 78,468.94 : x
  2. Step 2: Convert to fraction form
    36,316.78/78,468.94 = 78,468.94/x
  3. Step 3: Cross multiply
    36,316.78x = 78,468.94 × 78,468.94
  4. Step 4: Simplify right side
    36,316.78x = 6,157,374,152.38
  5. Step 5: Solve for x
    x = 6,157,374,152.38/36,316.78
  6. Step 6: Final answer
    x = 169,546.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.