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Finding the Third Proportional to 135,201,312 and 291,954,816

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Solution

The third proportional to 135,201,312 and 291,954,816 is: 630,449,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,201,312 : 291,954,816 = 291,954,816 : x
  2. Step 2: Convert to fraction form
    135,201,312/291,954,816 = 291,954,816/x
  3. Step 3: Cross multiply
    135,201,312x = 291,954,816 × 291,954,816
  4. Step 4: Simplify right side
    135,201,312x = 85,237,614,585,593,856
  5. Step 5: Solve for x
    x = 85,237,614,585,593,856/135,201,312
  6. Step 6: Final answer
    x = 630,449,611.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.