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Finding the Third Proportional to 49,408,056 and 107,321,535

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Solution

The third proportional to 49,408,056 and 107,321,535 is: 233,118,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,408,056 : 107,321,535 = 107,321,535 : x
  2. Step 2: Convert to fraction form
    49,408,056/107,321,535 = 107,321,535/x
  3. Step 3: Cross multiply
    49,408,056x = 107,321,535 × 107,321,535
  4. Step 4: Simplify right side
    49,408,056x = 11,517,911,874,756,224
  5. Step 5: Solve for x
    x = 11,517,911,874,756,224/49,408,056
  6. Step 6: Final answer
    x = 233,118,094.64

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