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Finding the Third Proportional to 88,706 and 193,854

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Solution

The third proportional to 88,706 and 193,854 is: 423,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,706 : 193,854 = 193,854 : x
  2. Step 2: Convert to fraction form
    88,706/193,854 = 193,854/x
  3. Step 3: Cross multiply
    88,706x = 193,854 × 193,854
  4. Step 4: Simplify right side
    88,706x = 37,579,373,316
  5. Step 5: Solve for x
    x = 37,579,373,316/88,706
  6. Step 6: Final answer
    x = 423,639.59

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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.