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Finding the Third Proportional to 49,408,054.50 and 107,321,532

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Solution

The third proportional to 49,408,054.50 and 107,321,532 is: 233,118,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,408,054.50 : 107,321,532 = 107,321,532 : x
  2. Step 2: Convert to fraction form
    49,408,054.50/107,321,532 = 107,321,532/x
  3. Step 3: Cross multiply
    49,408,054.50x = 107,321,532 × 107,321,532
  4. Step 4: Simplify right side
    49,408,054.50x = 11,517,911,230,827,024
  5. Step 5: Solve for x
    x = 11,517,911,230,827,024/49,408,054.50
  6. Step 6: Final answer
    x = 233,118,088.69

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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.