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Finding the Third Proportional to 64,243.13 and 151,859.81

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Solution

The third proportional to 64,243.13 and 151,859.81 is: 358,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,243.13 : 151,859.81 = 151,859.81 : x
  2. Step 2: Convert to fraction form
    64,243.13/151,859.81 = 151,859.81/x
  3. Step 3: Cross multiply
    64,243.13x = 151,859.81 × 151,859.81
  4. Step 4: Simplify right side
    64,243.13x = 23,061,402,652.54
  5. Step 5: Solve for x
    x = 23,061,402,652.54/64,243.13
  6. Step 6: Final answer
    x = 358,970.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.