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Finding the Third Proportional to 60,835,214 and 135,271,912

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Solution

The third proportional to 60,835,214 and 135,271,912 is: 300,787,799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,835,214 : 135,271,912 = 135,271,912 : x
  2. Step 2: Convert to fraction form
    60,835,214/135,271,912 = 135,271,912/x
  3. Step 3: Cross multiply
    60,835,214x = 135,271,912 × 135,271,912
  4. Step 4: Simplify right side
    60,835,214x = 18,298,490,176,135,744
  5. Step 5: Solve for x
    x = 18,298,490,176,135,744/60,835,214
  6. Step 6: Final answer
    x = 300,787,799.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.