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Finding the Third Proportional to 93,536.63 and 205,182.75

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Solution

The third proportional to 93,536.63 and 205,182.75 is: 450,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,536.63 : 205,182.75 = 205,182.75 : x
  2. Step 2: Convert to fraction form
    93,536.63/205,182.75 = 205,182.75/x
  3. Step 3: Cross multiply
    93,536.63x = 205,182.75 × 205,182.75
  4. Step 4: Simplify right side
    93,536.63x = 42,099,960,897.56
  5. Step 5: Solve for x
    x = 42,099,960,897.56/93,536.63
  6. Step 6: Final answer
    x = 450,090.66

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