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Finding the Third Proportional to 89,676,034 and 193,105,616

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Solution

The third proportional to 89,676,034 and 193,105,616 is: 415,827,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,676,034 : 193,105,616 = 193,105,616 : x
  2. Step 2: Convert to fraction form
    89,676,034/193,105,616 = 193,105,616/x
  3. Step 3: Cross multiply
    89,676,034x = 193,105,616 × 193,105,616
  4. Step 4: Simplify right side
    89,676,034x = 37,289,778,930,739,456
  5. Step 5: Solve for x
    x = 37,289,778,930,739,456/89,676,034
  6. Step 6: Final answer
    x = 415,827,699.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.