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Finding the Third Proportional to 83,821,196 and 183,224,772

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Solution

The third proportional to 83,821,196 and 183,224,772 is: 400,511,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,821,196 : 183,224,772 = 183,224,772 : x
  2. Step 2: Convert to fraction form
    83,821,196/183,224,772 = 183,224,772/x
  3. Step 3: Cross multiply
    83,821,196x = 183,224,772 × 183,224,772
  4. Step 4: Simplify right side
    83,821,196x = 33,571,317,074,451,984
  5. Step 5: Solve for x
    x = 33,571,317,074,451,984/83,821,196
  6. Step 6: Final answer
    x = 400,511,072.10

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