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Finding the Third Proportional to 93,086.72 and 200,931.89

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Solution

The third proportional to 93,086.72 and 200,931.89 is: 433,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,086.72 : 200,931.89 = 200,931.89 : x
  2. Step 2: Convert to fraction form
    93,086.72/200,931.89 = 200,931.89/x
  3. Step 3: Cross multiply
    93,086.72x = 200,931.89 × 200,931.89
  4. Step 4: Simplify right side
    93,086.72x = 40,373,624,670.14
  5. Step 5: Solve for x
    x = 40,373,624,670.14/93,086.72
  6. Step 6: Final answer
    x = 433,720.57

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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.