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Finding the Third Proportional to 53,661,930.75 and 115,821,996.75

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Solution

The third proportional to 53,661,930.75 and 115,821,996.75 is: 249,986,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,661,930.75 : 115,821,996.75 = 115,821,996.75 : x
  2. Step 2: Convert to fraction form
    53,661,930.75/115,821,996.75 = 115,821,996.75/x
  3. Step 3: Cross multiply
    53,661,930.75x = 115,821,996.75 × 115,821,996.75
  4. Step 4: Simplify right side
    53,661,930.75x = 13,414,734,931,157,010
  5. Step 5: Solve for x
    x = 13,414,734,931,157,010/53,661,930.75
  6. Step 6: Final answer
    x = 249,986,065.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.