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Finding the Third Proportional to 35,699.06 and 78,404.81

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Solution

The third proportional to 35,699.06 and 78,404.81 is: 172,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,699.06 : 78,404.81 = 78,404.81 : x
  2. Step 2: Convert to fraction form
    35,699.06/78,404.81 = 78,404.81/x
  3. Step 3: Cross multiply
    35,699.06x = 78,404.81 × 78,404.81
  4. Step 4: Simplify right side
    35,699.06x = 6,147,314,623.16
  5. Step 5: Solve for x
    x = 6,147,314,623.16/35,699.06
  6. Step 6: Final answer
    x = 172,198.21

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.