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Finding the Third Proportional to 49,408,070 and 107,321,560

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Solution

The third proportional to 49,408,070 and 107,321,560 is: 233,118,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,408,070 : 107,321,560 = 107,321,560 : x
  2. Step 2: Convert to fraction form
    49,408,070/107,321,560 = 107,321,560/x
  3. Step 3: Cross multiply
    49,408,070x = 107,321,560 × 107,321,560
  4. Step 4: Simplify right side
    49,408,070x = 11,517,917,240,833,600
  5. Step 5: Solve for x
    x = 11,517,917,240,833,600/49,408,070
  6. Step 6: Final answer
    x = 233,118,137.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.