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Finding the Third Proportional to 94,911.75 and 202,095

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Solution

The third proportional to 94,911.75 and 202,095 is: 430,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,911.75 : 202,095 = 202,095 : x
  2. Step 2: Convert to fraction form
    94,911.75/202,095 = 202,095/x
  3. Step 3: Cross multiply
    94,911.75x = 202,095 × 202,095
  4. Step 4: Simplify right side
    94,911.75x = 40,842,389,025
  5. Step 5: Solve for x
    x = 40,842,389,025/94,911.75
  6. Step 6: Final answer
    x = 430,319.63

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.