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Finding the Third Proportional to 54,852,923.25 and 114,245,876.25

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Solution

The third proportional to 54,852,923.25 and 114,245,876.25 is: 237,947,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,852,923.25 : 114,245,876.25 = 114,245,876.25 : x
  2. Step 2: Convert to fraction form
    54,852,923.25/114,245,876.25 = 114,245,876.25/x
  3. Step 3: Cross multiply
    54,852,923.25x = 114,245,876.25 × 114,245,876.25
  4. Step 4: Simplify right side
    54,852,923.25x = 13,052,120,240,130,314
  5. Step 5: Solve for x
    x = 13,052,120,240,130,314/54,852,923.25
  6. Step 6: Final answer
    x = 237,947,578.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.