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Finding the Third Proportional to 102,777,305.63 and 221,936,633.44

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Solution

The third proportional to 102,777,305.63 and 221,936,633.44 is: 479,248,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,777,305.63 : 221,936,633.44 = 221,936,633.44 : x
  2. Step 2: Convert to fraction form
    102,777,305.63/221,936,633.44 = 221,936,633.44/x
  3. Step 3: Cross multiply
    102,777,305.63x = 221,936,633.44 × 221,936,633.44
  4. Step 4: Simplify right side
    102,777,305.63x = 49,255,869,261,571,240
  5. Step 5: Solve for x
    x = 49,255,869,261,571,240/102,777,305.63
  6. Step 6: Final answer
    x = 479,248,497.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.