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Finding the Third Proportional to 51,509,293.50 and 109,159,035

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Solution

The third proportional to 51,509,293.50 and 109,159,035 is: 231,330,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,509,293.50 : 109,159,035 = 109,159,035 : x
  2. Step 2: Convert to fraction form
    51,509,293.50/109,159,035 = 109,159,035/x
  3. Step 3: Cross multiply
    51,509,293.50x = 109,159,035 × 109,159,035
  4. Step 4: Simplify right side
    51,509,293.50x = 11,915,694,922,131,224
  5. Step 5: Solve for x
    x = 11,915,694,922,131,224/51,509,293.50
  6. Step 6: Final answer
    x = 231,330,971.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.