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Finding the Third Proportional to 162,196,562 and 335,890,184

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Solution

The third proportional to 162,196,562 and 335,890,184 is: 695,589,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,196,562 : 335,890,184 = 335,890,184 : x
  2. Step 2: Convert to fraction form
    162,196,562/335,890,184 = 335,890,184/x
  3. Step 3: Cross multiply
    162,196,562x = 335,890,184 × 335,890,184
  4. Step 4: Simplify right side
    162,196,562x = 112,822,215,707,553,856
  5. Step 5: Solve for x
    x = 112,822,215,707,553,856/162,196,562
  6. Step 6: Final answer
    x = 695,589,439.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.