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Finding the Third Proportional to 93,681.19 and 200,747.44

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Solution

The third proportional to 93,681.19 and 200,747.44 is: 430,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,681.19 : 200,747.44 = 200,747.44 : x
  2. Step 2: Convert to fraction form
    93,681.19/200,747.44 = 200,747.44/x
  3. Step 3: Cross multiply
    93,681.19x = 200,747.44 × 200,747.44
  4. Step 4: Simplify right side
    93,681.19x = 40,299,533,662.82
  5. Step 5: Solve for x
    x = 40,299,533,662.82/93,681.19
  6. Step 6: Final answer
    x = 430,177.44

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