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Finding the Third Proportional to 93,478.50 and 202,815

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Solution

The third proportional to 93,478.50 and 202,815 is: 440,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,478.50 : 202,815 = 202,815 : x
  2. Step 2: Convert to fraction form
    93,478.50/202,815 = 202,815/x
  3. Step 3: Cross multiply
    93,478.50x = 202,815 × 202,815
  4. Step 4: Simplify right side
    93,478.50x = 41,133,924,225
  5. Step 5: Solve for x
    x = 41,133,924,225/93,478.50
  6. Step 6: Final answer
    x = 440,036.20

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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.