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Finding the Third Proportional to 93,532 and 205,748

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Solution

The third proportional to 93,532 and 205,748 is: 452,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,532 : 205,748 = 205,748 : x
  2. Step 2: Convert to fraction form
    93,532/205,748 = 205,748/x
  3. Step 3: Cross multiply
    93,532x = 205,748 × 205,748
  4. Step 4: Simplify right side
    93,532x = 42,332,239,504
  5. Step 5: Solve for x
    x = 42,332,239,504/93,532
  6. Step 6: Final answer
    x = 452,596.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.