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Finding the Third Proportional to 53,734,452.75 and 116,591,975.25

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Solution

The third proportional to 53,734,452.75 and 116,591,975.25 is: 252,979,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,734,452.75 : 116,591,975.25 = 116,591,975.25 : x
  2. Step 2: Convert to fraction form
    53,734,452.75/116,591,975.25 = 116,591,975.25/x
  3. Step 3: Cross multiply
    53,734,452.75x = 116,591,975.25 × 116,591,975.25
  4. Step 4: Simplify right side
    53,734,452.75x = 13,593,688,692,696,612
  5. Step 5: Solve for x
    x = 13,593,688,692,696,612/53,734,452.75
  6. Step 6: Final answer
    x = 252,979,010.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.