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Finding the Third Proportional to 93,090.38 and 199,302.75

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Solution

The third proportional to 93,090.38 and 199,302.75 is: 426,699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,090.38 : 199,302.75 = 199,302.75 : x
  2. Step 2: Convert to fraction form
    93,090.38/199,302.75 = 199,302.75/x
  3. Step 3: Cross multiply
    93,090.38x = 199,302.75 × 199,302.75
  4. Step 4: Simplify right side
    93,090.38x = 39,721,586,157.56
  5. Step 5: Solve for x
    x = 39,721,586,157.56/93,090.38
  6. Step 6: Final answer
    x = 426,699.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.