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Finding the Third Proportional to 109,137,243 and 163,665,790

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Solution

The third proportional to 109,137,243 and 163,665,790 is: 245,438,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,137,243 : 163,665,790 = 163,665,790 : x
  2. Step 2: Convert to fraction form
    109,137,243/163,665,790 = 163,665,790/x
  3. Step 3: Cross multiply
    109,137,243x = 163,665,790 × 163,665,790
  4. Step 4: Simplify right side
    109,137,243x = 26,786,490,816,324,100
  5. Step 5: Solve for x
    x = 26,786,490,816,324,100/109,137,243
  6. Step 6: Final answer
    x = 245,438,587.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.