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Finding the Third Proportional to 93,933.42 and 208,123.17

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Solution

The third proportional to 93,933.42 and 208,123.17 is: 461,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,933.42 : 208,123.17 = 208,123.17 : x
  2. Step 2: Convert to fraction form
    93,933.42/208,123.17 = 208,123.17/x
  3. Step 3: Cross multiply
    93,933.42x = 208,123.17 × 208,123.17
  4. Step 4: Simplify right side
    93,933.42x = 43,315,254,671.31
  5. Step 5: Solve for x
    x = 43,315,254,671.31/93,933.42
  6. Step 6: Final answer
    x = 461,127.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.