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Finding the Third Proportional to 88,335.28 and 193,492.97

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Solution

The third proportional to 88,335.28 and 193,492.97 is: 423,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,335.28 : 193,492.97 = 193,492.97 : x
  2. Step 2: Convert to fraction form
    88,335.28/193,492.97 = 193,492.97/x
  3. Step 3: Cross multiply
    88,335.28x = 193,492.97 × 193,492.97
  4. Step 4: Simplify right side
    88,335.28x = 37,439,528,955.69
  5. Step 5: Solve for x
    x = 37,439,528,955.69/88,335.28
  6. Step 6: Final answer
    x = 423,834.38

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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.