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Finding the Third Proportional to 115,465,995 and 251,259,205.50

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Solution

The third proportional to 115,465,995 and 251,259,205.50 is: 546,751,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,465,995 : 251,259,205.50 = 251,259,205.50 : x
  2. Step 2: Convert to fraction form
    115,465,995/251,259,205.50 = 251,259,205.50/x
  3. Step 3: Cross multiply
    115,465,995x = 251,259,205.50 × 251,259,205.50
  4. Step 4: Simplify right side
    115,465,995x = 63,131,188,348,491,232
  5. Step 5: Solve for x
    x = 63,131,188,348,491,232/115,465,995
  6. Step 6: Final answer
    x = 546,751,347.43

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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.