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Finding the Third Proportional to 95,053.50 and 205,294.50

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Solution

The third proportional to 95,053.50 and 205,294.50 is: 443,390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,053.50 : 205,294.50 = 205,294.50 : x
  2. Step 2: Convert to fraction form
    95,053.50/205,294.50 = 205,294.50/x
  3. Step 3: Cross multiply
    95,053.50x = 205,294.50 × 205,294.50
  4. Step 4: Simplify right side
    95,053.50x = 42,145,831,730.25
  5. Step 5: Solve for x
    x = 42,145,831,730.25/95,053.50
  6. Step 6: Final answer
    x = 443,390.64

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