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Finding the Third Proportional to 64,038.09 and 139,150.41

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Solution

The third proportional to 64,038.09 and 139,150.41 is: 302,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,038.09 : 139,150.41 = 139,150.41 : x
  2. Step 2: Convert to fraction form
    64,038.09/139,150.41 = 139,150.41/x
  3. Step 3: Cross multiply
    64,038.09x = 139,150.41 × 139,150.41
  4. Step 4: Simplify right side
    64,038.09x = 19,362,835,559.54
  5. Step 5: Solve for x
    x = 19,362,835,559.54/64,038.09
  6. Step 6: Final answer
    x = 302,364.33

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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.