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Finding the Third Proportional to 64,196.13 and 143,144.38

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Solution

The third proportional to 64,196.13 and 143,144.38 is: 319,183.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,196.13 : 143,144.38 = 143,144.38 : x
  2. Step 2: Convert to fraction form
    64,196.13/143,144.38 = 143,144.38/x
  3. Step 3: Cross multiply
    64,196.13x = 143,144.38 × 143,144.38
  4. Step 4: Simplify right side
    64,196.13x = 20,490,312,094.14
  5. Step 5: Solve for x
    x = 20,490,312,094.14/64,196.13
  6. Step 6: Final answer
    x = 319,183.01

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.