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Finding the Third Proportional to 92,648 and 202,237.50

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Solution

The third proportional to 92,648 and 202,237.50 is: 441,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,648 : 202,237.50 = 202,237.50 : x
  2. Step 2: Convert to fraction form
    92,648/202,237.50 = 202,237.50/x
  3. Step 3: Cross multiply
    92,648x = 202,237.50 × 202,237.50
  4. Step 4: Simplify right side
    92,648x = 40,900,006,406.25
  5. Step 5: Solve for x
    x = 40,900,006,406.25/92,648
  6. Step 6: Final answer
    x = 441,455.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.