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Finding the Third Proportional to 162,733,203 and 245,613,163.50

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Solution

The third proportional to 162,733,203 and 245,613,163.50 is: 370,703,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,733,203 : 245,613,163.50 = 245,613,163.50 : x
  2. Step 2: Convert to fraction form
    162,733,203/245,613,163.50 = 245,613,163.50/x
  3. Step 3: Cross multiply
    162,733,203x = 245,613,163.50 × 245,613,163.50
  4. Step 4: Simplify right side
    162,733,203x = 60,325,826,084,477,736
  5. Step 5: Solve for x
    x = 60,325,826,084,477,736/162,733,203
  6. Step 6: Final answer
    x = 370,703,857.43

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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.