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Finding the Third Proportional to 93,499.88 and 202,851.75

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Solution

The third proportional to 93,499.88 and 202,851.75 is: 440,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,499.88 : 202,851.75 = 202,851.75 : x
  2. Step 2: Convert to fraction form
    93,499.88/202,851.75 = 202,851.75/x
  3. Step 3: Cross multiply
    93,499.88x = 202,851.75 × 202,851.75
  4. Step 4: Simplify right side
    93,499.88x = 41,148,832,478.06
  5. Step 5: Solve for x
    x = 41,148,832,478.06/93,499.88
  6. Step 6: Final answer
    x = 440,095.05

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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.