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Finding the Third Proportional to 117,775,296 and 257,385,600

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Solution

The third proportional to 117,775,296 and 257,385,600 is: 562,489,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,775,296 : 257,385,600 = 257,385,600 : x
  2. Step 2: Convert to fraction form
    117,775,296/257,385,600 = 257,385,600/x
  3. Step 3: Cross multiply
    117,775,296x = 257,385,600 × 257,385,600
  4. Step 4: Simplify right side
    117,775,296x = 66,247,347,087,360,000
  5. Step 5: Solve for x
    x = 66,247,347,087,360,000/117,775,296
  6. Step 6: Final answer
    x = 562,489,327.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.