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Finding the Third Proportional to 93,686.63 and 204,494.63

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Solution

The third proportional to 93,686.63 and 204,494.63 is: 446,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,686.63 : 204,494.63 = 204,494.63 : x
  2. Step 2: Convert to fraction form
    93,686.63/204,494.63 = 204,494.63/x
  3. Step 3: Cross multiply
    93,686.63x = 204,494.63 × 204,494.63
  4. Step 4: Simplify right side
    93,686.63x = 41,818,051,653.89
  5. Step 5: Solve for x
    x = 41,818,051,653.89/93,686.63
  6. Step 6: Final answer
    x = 446,360.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.