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Finding the Third Proportional to 51,138,444.75 and 111,842,644.50

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Solution

The third proportional to 51,138,444.75 and 111,842,644.50 is: 244,606,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,138,444.75 : 111,842,644.50 = 111,842,644.50 : x
  2. Step 2: Convert to fraction form
    51,138,444.75/111,842,644.50 = 111,842,644.50/x
  3. Step 3: Cross multiply
    51,138,444.75x = 111,842,644.50 × 111,842,644.50
  4. Step 4: Simplify right side
    51,138,444.75x = 12,508,777,128,753,380
  5. Step 5: Solve for x
    x = 12,508,777,128,753,380/51,138,444.75
  6. Step 6: Final answer
    x = 244,606,131.26

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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.