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Finding the Third Proportional to 49,900,903.97 and 109,208,859.56

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Solution

The third proportional to 49,900,903.97 and 109,208,859.56 is: 239,005,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,900,903.97 : 109,208,859.56 = 109,208,859.56 : x
  2. Step 2: Convert to fraction form
    49,900,903.97/109,208,859.56 = 109,208,859.56/x
  3. Step 3: Cross multiply
    49,900,903.97x = 109,208,859.56 × 109,208,859.56
  4. Step 4: Simplify right side
    49,900,903.97x = 11,926,575,006,941,848
  5. Step 5: Solve for x
    x = 11,926,575,006,941,848/49,900,903.97
  6. Step 6: Final answer
    x = 239,005,189.45

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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.