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Finding the Third Proportional to 93,758.63 and 202,279.50

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Solution

The third proportional to 93,758.63 and 202,279.50 is: 436,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,758.63 : 202,279.50 = 202,279.50 : x
  2. Step 2: Convert to fraction form
    93,758.63/202,279.50 = 202,279.50/x
  3. Step 3: Cross multiply
    93,758.63x = 202,279.50 × 202,279.50
  4. Step 4: Simplify right side
    93,758.63x = 40,916,996,120.25
  5. Step 5: Solve for x
    x = 40,916,996,120.25/93,758.63
  6. Step 6: Final answer
    x = 436,407.81

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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.