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Finding the Third Proportional to 93,740.63 and 205,287.75

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Solution

The third proportional to 93,740.63 and 205,287.75 is: 449,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,740.63 : 205,287.75 = 205,287.75 : x
  2. Step 2: Convert to fraction form
    93,740.63/205,287.75 = 205,287.75/x
  3. Step 3: Cross multiply
    93,740.63x = 205,287.75 × 205,287.75
  4. Step 4: Simplify right side
    93,740.63x = 42,143,060,300.06
  5. Step 5: Solve for x
    x = 42,143,060,300.06/93,740.63
  6. Step 6: Final answer
    x = 449,570.93

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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.