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Finding the Third Proportional to 64,109.81 and 139,508.06

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Solution

The third proportional to 64,109.81 and 139,508.06 is: 303,580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,109.81 : 139,508.06 = 139,508.06 : x
  2. Step 2: Convert to fraction form
    64,109.81/139,508.06 = 139,508.06/x
  3. Step 3: Cross multiply
    64,109.81x = 139,508.06 × 139,508.06
  4. Step 4: Simplify right side
    64,109.81x = 19,462,499,502.50
  5. Step 5: Solve for x
    x = 19,462,499,502.50/64,109.81
  6. Step 6: Final answer
    x = 303,580.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.