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Finding the Third Proportional to 93,465 and 202,704.75

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Solution

The third proportional to 93,465 and 202,704.75 is: 439,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,465 : 202,704.75 = 202,704.75 : x
  2. Step 2: Convert to fraction form
    93,465/202,704.75 = 202,704.75/x
  3. Step 3: Cross multiply
    93,465x = 202,704.75 × 202,704.75
  4. Step 4: Simplify right side
    93,465x = 41,089,215,672.56
  5. Step 5: Solve for x
    x = 41,089,215,672.56/93,465
  6. Step 6: Final answer
    x = 439,621.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.