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Finding the Third Proportional to 93,554.21 and 146,590.07

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Solution

The third proportional to 93,554.21 and 146,590.07 is: 229,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,554.21 : 146,590.07 = 146,590.07 : x
  2. Step 2: Convert to fraction form
    93,554.21/146,590.07 = 146,590.07/x
  3. Step 3: Cross multiply
    93,554.21x = 146,590.07 × 146,590.07
  4. Step 4: Simplify right side
    93,554.21x = 21,488,647,568.99
  5. Step 5: Solve for x
    x = 21,488,647,568.99/93,554.21
  6. Step 6: Final answer
    x = 229,691.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.