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Finding the Third Proportional to 91,838.81 and 200,080.13

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Solution

The third proportional to 91,838.81 and 200,080.13 is: 435,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,838.81 : 200,080.13 = 200,080.13 : x
  2. Step 2: Convert to fraction form
    91,838.81/200,080.13 = 200,080.13/x
  3. Step 3: Cross multiply
    91,838.81x = 200,080.13 × 200,080.13
  4. Step 4: Simplify right side
    91,838.81x = 40,032,056,420.02
  5. Step 5: Solve for x
    x = 40,032,056,420.02/91,838.81
  6. Step 6: Final answer
    x = 435,894.75

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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.