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Finding the Third Proportional to 93,531.38 and 193,714.88

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Solution

The third proportional to 93,531.38 and 193,714.88 is: 401,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,531.38 : 193,714.88 = 193,714.88 : x
  2. Step 2: Convert to fraction form
    93,531.38/193,714.88 = 193,714.88/x
  3. Step 3: Cross multiply
    93,531.38x = 193,714.88 × 193,714.88
  4. Step 4: Simplify right side
    93,531.38x = 37,525,452,796.27
  5. Step 5: Solve for x
    x = 37,525,452,796.27/93,531.38
  6. Step 6: Final answer
    x = 401,207.11

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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.