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Finding the Third Proportional to 51,066,142.50 and 109,305,642

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Solution

The third proportional to 51,066,142.50 and 109,305,642 is: 233,965,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,066,142.50 : 109,305,642 = 109,305,642 : x
  2. Step 2: Convert to fraction form
    51,066,142.50/109,305,642 = 109,305,642/x
  3. Step 3: Cross multiply
    51,066,142.50x = 109,305,642 × 109,305,642
  4. Step 4: Simplify right side
    51,066,142.50x = 11,947,723,373,032,164
  5. Step 5: Solve for x
    x = 11,947,723,373,032,164/51,066,142.50
  6. Step 6: Final answer
    x = 233,965,652.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.