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Finding the Third Proportional to 115,563,462.75 and 256,043,965.50

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Solution

The third proportional to 115,563,462.75 and 256,043,965.50 is: 567,294,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,563,462.75 : 256,043,965.50 = 256,043,965.50 : x
  2. Step 2: Convert to fraction form
    115,563,462.75/256,043,965.50 = 256,043,965.50/x
  3. Step 3: Cross multiply
    115,563,462.75x = 256,043,965.50 × 256,043,965.50
  4. Step 4: Simplify right side
    115,563,462.75x = 65,558,512,268,965,192
  5. Step 5: Solve for x
    x = 65,558,512,268,965,192/115,563,462.75
  6. Step 6: Final answer
    x = 567,294,460.63

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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.