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Finding the Third Proportional to 162,733,141 and 245,613,041

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Solution

The third proportional to 162,733,141 and 245,613,041 is: 370,703,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,733,141 : 245,613,041 = 245,613,041 : x
  2. Step 2: Convert to fraction form
    162,733,141/245,613,041 = 245,613,041/x
  3. Step 3: Cross multiply
    162,733,141x = 245,613,041 × 245,613,041
  4. Step 4: Simplify right side
    162,733,141x = 60,325,765,909,267,680
  5. Step 5: Solve for x
    x = 60,325,765,909,267,680/162,733,141
  6. Step 6: Final answer
    x = 370,703,628.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.