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Finding the Third Proportional to 93,987 and 205,122.38

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Solution

The third proportional to 93,987 and 205,122.38 is: 447,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,987 : 205,122.38 = 205,122.38 : x
  2. Step 2: Convert to fraction form
    93,987/205,122.38 = 205,122.38/x
  3. Step 3: Cross multiply
    93,987x = 205,122.38 × 205,122.38
  4. Step 4: Simplify right side
    93,987x = 42,075,188,725.64
  5. Step 5: Solve for x
    x = 42,075,188,725.64/93,987
  6. Step 6: Final answer
    x = 447,670.30

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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.