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Finding the Third Proportional to 115,495,593.75 and 256,814,183.25

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Solution

The third proportional to 115,495,593.75 and 256,814,183.25 is: 571,047,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,495,593.75 : 256,814,183.25 = 256,814,183.25 : x
  2. Step 2: Convert to fraction form
    115,495,593.75/256,814,183.25 = 256,814,183.25/x
  3. Step 3: Cross multiply
    115,495,593.75x = 256,814,183.25 × 256,814,183.25
  4. Step 4: Simplify right side
    115,495,593.75x = 65,953,524,718,364,584
  5. Step 5: Solve for x
    x = 65,953,524,718,364,584/115,495,593.75
  6. Step 6: Final answer
    x = 571,047,973.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.