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Finding the Third Proportional to 90,752,064 and 199,137,216

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Solution

The third proportional to 90,752,064 and 199,137,216 is: 436,966,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,752,064 : 199,137,216 = 199,137,216 : x
  2. Step 2: Convert to fraction form
    90,752,064/199,137,216 = 199,137,216/x
  3. Step 3: Cross multiply
    90,752,064x = 199,137,216 × 199,137,216
  4. Step 4: Simplify right side
    90,752,064x = 39,655,630,796,230,656
  5. Step 5: Solve for x
    x = 39,655,630,796,230,656/90,752,064
  6. Step 6: Final answer
    x = 436,966,709.61

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Why These Related Problems?

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