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Finding the Third Proportional to 48,794,959.50 and 102,621,999

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Solution

The third proportional to 48,794,959.50 and 102,621,999 is: 215,827,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,794,959.50 : 102,621,999 = 102,621,999 : x
  2. Step 2: Convert to fraction form
    48,794,959.50/102,621,999 = 102,621,999/x
  3. Step 3: Cross multiply
    48,794,959.50x = 102,621,999 × 102,621,999
  4. Step 4: Simplify right side
    48,794,959.50x = 10,531,274,678,756,000
  5. Step 5: Solve for x
    x = 10,531,274,678,756,000/48,794,959.50
  6. Step 6: Final answer
    x = 215,827,101.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.