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Finding the Third Proportional to 135,139,116 and 295,049,289

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Solution

The third proportional to 135,139,116 and 295,049,289 is: 644,181,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,139,116 : 295,049,289 = 295,049,289 : x
  2. Step 2: Convert to fraction form
    135,139,116/295,049,289 = 295,049,289/x
  3. Step 3: Cross multiply
    135,139,116x = 295,049,289 × 295,049,289
  4. Step 4: Simplify right side
    135,139,116x = 87,054,082,939,405,520
  5. Step 5: Solve for x
    x = 87,054,082,939,405,520/135,139,116
  6. Step 6: Final answer
    x = 644,181,237.20

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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.