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Finding the Third Proportional to 92,356 and 199,473

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Solution

The third proportional to 92,356 and 199,473 is: 430,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,356 : 199,473 = 199,473 : x
  2. Step 2: Convert to fraction form
    92,356/199,473 = 199,473/x
  3. Step 3: Cross multiply
    92,356x = 199,473 × 199,473
  4. Step 4: Simplify right side
    92,356x = 39,789,477,729
  5. Step 5: Solve for x
    x = 39,789,477,729/92,356
  6. Step 6: Final answer
    x = 430,827.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.