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Finding the Third Proportional to 109,356,600 and 153,823,764

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Solution

The third proportional to 109,356,600 and 153,823,764 is: 216,372,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,356,600 : 153,823,764 = 153,823,764 : x
  2. Step 2: Convert to fraction form
    109,356,600/153,823,764 = 153,823,764/x
  3. Step 3: Cross multiply
    109,356,600x = 153,823,764 × 153,823,764
  4. Step 4: Simplify right side
    109,356,600x = 23,661,750,371,127,696
  5. Step 5: Solve for x
    x = 23,661,750,371,127,696/109,356,600
  6. Step 6: Final answer
    x = 216,372,403.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.