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Finding the Third Proportional to 231,251,783,025 and 353,524,340,703

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Solution

The third proportional to 231,251,783,025 and 353,524,340,703 is: 540,447,549,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,251,783,025 : 353,524,340,703 = 353,524,340,703 : x
  2. Step 2: Convert to fraction form
    231,251,783,025/353,524,340,703 = 353,524,340,703/x
  3. Step 3: Cross multiply
    231,251,783,025x = 353,524,340,703 × 353,524,340,703
  4. Step 4: Simplify right side
    231,251,783,025x = 124,979,459,469,490,830,442,496
  5. Step 5: Solve for x
    x = 124,979,459,469,490,830,442,496/231,251,783,025
  6. Step 6: Final answer
    x = 540,447,549,569.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.