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Finding the Third Proportional to 64,398.38 and 139,886.16

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Solution

The third proportional to 64,398.38 and 139,886.16 is: 303,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,398.38 : 139,886.16 = 139,886.16 : x
  2. Step 2: Convert to fraction form
    64,398.38/139,886.16 = 139,886.16/x
  3. Step 3: Cross multiply
    64,398.38x = 139,886.16 × 139,886.16
  4. Step 4: Simplify right side
    64,398.38x = 19,568,136,710.40
  5. Step 5: Solve for x
    x = 19,568,136,710.40/64,398.38
  6. Step 6: Final answer
    x = 303,860.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.