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Finding the Third Proportional to 88,193.81 and 193,276.13

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Solution

The third proportional to 88,193.81 and 193,276.13 is: 423,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,193.81 : 193,276.13 = 193,276.13 : x
  2. Step 2: Convert to fraction form
    88,193.81/193,276.13 = 193,276.13/x
  3. Step 3: Cross multiply
    88,193.81x = 193,276.13 × 193,276.13
  4. Step 4: Simplify right side
    88,193.81x = 37,355,660,495.02
  5. Step 5: Solve for x
    x = 37,355,660,495.02/88,193.81
  6. Step 6: Final answer
    x = 423,563.28

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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.