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Finding the Third Proportional to 105,470,969 and 231,363,874

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Solution

The third proportional to 105,470,969 and 231,363,874 is: 507,525,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,470,969 : 231,363,874 = 231,363,874 : x
  2. Step 2: Convert to fraction form
    105,470,969/231,363,874 = 231,363,874/x
  3. Step 3: Cross multiply
    105,470,969x = 231,363,874 × 231,363,874
  4. Step 4: Simplify right side
    105,470,969x = 53,529,242,192,287,872
  5. Step 5: Solve for x
    x = 53,529,242,192,287,872/105,470,969
  6. Step 6: Final answer
    x = 507,525,840.52

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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.