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Finding the Third Proportional to 93,403.13 and 140,218.59

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Solution

The third proportional to 93,403.13 and 140,218.59 is: 210,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,403.13 : 140,218.59 = 140,218.59 : x
  2. Step 2: Convert to fraction form
    93,403.13/140,218.59 = 140,218.59/x
  3. Step 3: Cross multiply
    93,403.13x = 140,218.59 × 140,218.59
  4. Step 4: Simplify right side
    93,403.13x = 19,661,254,033.23
  5. Step 5: Solve for x
    x = 19,661,254,033.23/93,403.13
  6. Step 6: Final answer
    x = 210,498.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.