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Finding the Third Proportional to 221,562,240 and 512,876,468

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Solution

The third proportional to 221,562,240 and 512,876,468 is: 1,187,216,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,562,240 : 512,876,468 = 512,876,468 : x
  2. Step 2: Convert to fraction form
    221,562,240/512,876,468 = 512,876,468/x
  3. Step 3: Cross multiply
    221,562,240x = 512,876,468 × 512,876,468
  4. Step 4: Simplify right side
    221,562,240x = 263,042,271,428,155,008
  5. Step 5: Solve for x
    x = 263,042,271,428,155,008/221,562,240
  6. Step 6: Final answer
    x = 1,187,216,158.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.