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Finding the Third Proportional to 117,115,375.50 and 254,391,752.25

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Solution

The third proportional to 117,115,375.50 and 254,391,752.25 is: 552,576,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,115,375.50 : 254,391,752.25 = 254,391,752.25 : x
  2. Step 2: Convert to fraction form
    117,115,375.50/254,391,752.25 = 254,391,752.25/x
  3. Step 3: Cross multiply
    117,115,375.50x = 254,391,752.25 × 254,391,752.25
  4. Step 4: Simplify right side
    117,115,375.50x = 64,715,163,612,825,384
  5. Step 5: Solve for x
    x = 64,715,163,612,825,384/117,115,375.50
  6. Step 6: Final answer
    x = 552,576,152.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.