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Finding the Third Proportional to 141,524,892 and 302,724,158

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Solution

The third proportional to 141,524,892 and 302,724,158 is: 647,532,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,524,892 : 302,724,158 = 302,724,158 : x
  2. Step 2: Convert to fraction form
    141,524,892/302,724,158 = 302,724,158/x
  3. Step 3: Cross multiply
    141,524,892x = 302,724,158 × 302,724,158
  4. Step 4: Simplify right side
    141,524,892x = 91,641,915,836,808,960
  5. Step 5: Solve for x
    x = 91,641,915,836,808,960/141,524,892
  6. Step 6: Final answer
    x = 647,532,137.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.