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Finding the Third Proportional to 93,458.67 and 205,011.14

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Solution

The third proportional to 93,458.67 and 205,011.14 is: 449,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,458.67 : 205,011.14 = 205,011.14 : x
  2. Step 2: Convert to fraction form
    93,458.67/205,011.14 = 205,011.14/x
  3. Step 3: Cross multiply
    93,458.67x = 205,011.14 × 205,011.14
  4. Step 4: Simplify right side
    93,458.67x = 42,029,567,780.36
  5. Step 5: Solve for x
    x = 42,029,567,780.36/93,458.67
  6. Step 6: Final answer
    x = 449,712.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.