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Finding the Third Proportional to 114,023,646 and 248,947,863.75

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Solution

The third proportional to 114,023,646 and 248,947,863.75 is: 543,527,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,023,646 : 248,947,863.75 = 248,947,863.75 : x
  2. Step 2: Convert to fraction form
    114,023,646/248,947,863.75 = 248,947,863.75/x
  3. Step 3: Cross multiply
    114,023,646x = 248,947,863.75 × 248,947,863.75
  4. Step 4: Simplify right side
    114,023,646x = 61,975,038,865,688,568
  5. Step 5: Solve for x
    x = 61,975,038,865,688,568/114,023,646
  6. Step 6: Final answer
    x = 543,527,952.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.