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Finding the Third Proportional to 93,861 and 201,076.88

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Solution

The third proportional to 93,861 and 201,076.88 is: 430,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,861 : 201,076.88 = 201,076.88 : x
  2. Step 2: Convert to fraction form
    93,861/201,076.88 = 201,076.88/x
  3. Step 3: Cross multiply
    93,861x = 201,076.88 × 201,076.88
  4. Step 4: Simplify right side
    93,861x = 40,431,909,659.77
  5. Step 5: Solve for x
    x = 40,431,909,659.77/93,861
  6. Step 6: Final answer
    x = 430,763.68

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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.