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Finding the Third Proportional to 93,857.38 and 194,368.13

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Solution

The third proportional to 93,857.38 and 194,368.13 is: 402,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,857.38 : 194,368.13 = 194,368.13 : x
  2. Step 2: Convert to fraction form
    93,857.38/194,368.13 = 194,368.13/x
  3. Step 3: Cross multiply
    93,857.38x = 194,368.13 × 194,368.13
  4. Step 4: Simplify right side
    93,857.38x = 37,778,968,016.02
  5. Step 5: Solve for x
    x = 37,778,968,016.02/93,857.38
  6. Step 6: Final answer
    x = 402,514.65

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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.