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Finding the Third Proportional to 93,857.50 and 194,368.75

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Solution

The third proportional to 93,857.50 and 194,368.75 is: 402,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,857.50 : 194,368.75 = 194,368.75 : x
  2. Step 2: Convert to fraction form
    93,857.50/194,368.75 = 194,368.75/x
  3. Step 3: Cross multiply
    93,857.50x = 194,368.75 × 194,368.75
  4. Step 4: Simplify right side
    93,857.50x = 37,779,210,976.56
  5. Step 5: Solve for x
    x = 37,779,210,976.56/93,857.50
  6. Step 6: Final answer
    x = 402,516.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.