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Finding the Third Proportional to 92,733 and 200,248.50

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Solution

The third proportional to 92,733 and 200,248.50 is: 432,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,733 : 200,248.50 = 200,248.50 : x
  2. Step 2: Convert to fraction form
    92,733/200,248.50 = 200,248.50/x
  3. Step 3: Cross multiply
    92,733x = 200,248.50 × 200,248.50
  4. Step 4: Simplify right side
    92,733x = 40,099,461,752.25
  5. Step 5: Solve for x
    x = 40,099,461,752.25/92,733
  6. Step 6: Final answer
    x = 432,418.47

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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.