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Finding the Third Proportional to 93,084.19 and 201,921.61

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Solution

The third proportional to 93,084.19 and 201,921.61 is: 438,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,084.19 : 201,921.61 = 201,921.61 : x
  2. Step 2: Convert to fraction form
    93,084.19/201,921.61 = 201,921.61/x
  3. Step 3: Cross multiply
    93,084.19x = 201,921.61 × 201,921.61
  4. Step 4: Simplify right side
    93,084.19x = 40,772,336,332.59
  5. Step 5: Solve for x
    x = 40,772,336,332.59/93,084.19
  6. Step 6: Final answer
    x = 438,015.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.