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Finding the Third Proportional to 135,139,107 and 295,049,270

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Solution

The third proportional to 135,139,107 and 295,049,270 is: 644,181,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,139,107 : 295,049,270 = 295,049,270 : x
  2. Step 2: Convert to fraction form
    135,139,107/295,049,270 = 295,049,270/x
  3. Step 3: Cross multiply
    135,139,107x = 295,049,270 × 295,049,270
  4. Step 4: Simplify right side
    135,139,107x = 87,054,071,727,532,896
  5. Step 5: Solve for x
    x = 87,054,071,727,532,896/135,139,107
  6. Step 6: Final answer
    x = 644,181,197.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.