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Finding the Third Proportional to 93,676.50 and 202,307.63

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Solution

The third proportional to 93,676.50 and 202,307.63 is: 436,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,676.50 : 202,307.63 = 202,307.63 : x
  2. Step 2: Convert to fraction form
    93,676.50/202,307.63 = 202,307.63/x
  3. Step 3: Cross multiply
    93,676.50x = 202,307.63 × 202,307.63
  4. Step 4: Simplify right side
    93,676.50x = 40,928,375,133.14
  5. Step 5: Solve for x
    x = 40,928,375,133.14/93,676.50
  6. Step 6: Final answer
    x = 436,911.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.