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Finding the Third Proportional to 83,821,194 and 183,224,767.50

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Solution

The third proportional to 83,821,194 and 183,224,767.50 is: 400,511,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,821,194 : 183,224,767.50 = 183,224,767.50 : x
  2. Step 2: Convert to fraction form
    83,821,194/183,224,767.50 = 183,224,767.50/x
  3. Step 3: Cross multiply
    83,821,194x = 183,224,767.50 × 183,224,767.50
  4. Step 4: Simplify right side
    83,821,194x = 33,571,315,425,429,056
  5. Step 5: Solve for x
    x = 33,571,315,425,429,056/83,821,194
  6. Step 6: Final answer
    x = 400,511,061.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.