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Finding the Third Proportional to 112,803,744 and 152,198,736

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Solution

The third proportional to 112,803,744 and 152,198,736 is: 205,351,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,803,744 : 152,198,736 = 152,198,736 : x
  2. Step 2: Convert to fraction form
    112,803,744/152,198,736 = 152,198,736/x
  3. Step 3: Cross multiply
    112,803,744x = 152,198,736 × 152,198,736
  4. Step 4: Simplify right side
    112,803,744x = 23,164,455,239,997,696
  5. Step 5: Solve for x
    x = 23,164,455,239,997,696/112,803,744
  6. Step 6: Final answer
    x = 205,351,829.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.