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Finding the Third Proportional to 52,160,016 and 113,280,168

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Solution

The third proportional to 52,160,016 and 113,280,168 is: 246,019,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,160,016 : 113,280,168 = 113,280,168 : x
  2. Step 2: Convert to fraction form
    52,160,016/113,280,168 = 113,280,168/x
  3. Step 3: Cross multiply
    52,160,016x = 113,280,168 × 113,280,168
  4. Step 4: Simplify right side
    52,160,016x = 12,832,396,462,108,224
  5. Step 5: Solve for x
    x = 12,832,396,462,108,224/52,160,016
  6. Step 6: Final answer
    x = 246,019,795.36

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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.