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Finding the Third Proportional to 92,110.29 and 202,775.91

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Solution

The third proportional to 92,110.29 and 202,775.91 is: 446,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,110.29 : 202,775.91 = 202,775.91 : x
  2. Step 2: Convert to fraction form
    92,110.29/202,775.91 = 202,775.91/x
  3. Step 3: Cross multiply
    92,110.29x = 202,775.91 × 202,775.91
  4. Step 4: Simplify right side
    92,110.29x = 41,118,068,155.51
  5. Step 5: Solve for x
    x = 41,118,068,155.51/92,110.29
  6. Step 6: Final answer
    x = 446,400.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.