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Finding the Third Proportional to 66,242,535.75 and 144,530,721.56

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Solution

The third proportional to 66,242,535.75 and 144,530,721.56 is: 315,343,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,242,535.75 : 144,530,721.56 = 144,530,721.56 : x
  2. Step 2: Convert to fraction form
    66,242,535.75/144,530,721.56 = 144,530,721.56/x
  3. Step 3: Cross multiply
    66,242,535.75x = 144,530,721.56 × 144,530,721.56
  4. Step 4: Simplify right side
    66,242,535.75x = 20,889,129,475,376,904
  5. Step 5: Solve for x
    x = 20,889,129,475,376,904/66,242,535.75
  6. Step 6: Final answer
    x = 315,343,143.78

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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.