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Finding the Third Proportional to 105,470,814 and 231,363,546

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Solution

The third proportional to 105,470,814 and 231,363,546 is: 507,525,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,470,814 : 231,363,546 = 231,363,546 : x
  2. Step 2: Convert to fraction form
    105,470,814/231,363,546 = 231,363,546/x
  3. Step 3: Cross multiply
    105,470,814x = 231,363,546 × 231,363,546
  4. Step 4: Simplify right side
    105,470,814x = 53,529,090,417,694,112
  5. Step 5: Solve for x
    x = 53,529,090,417,694,112/105,470,814
  6. Step 6: Final answer
    x = 507,525,147.36

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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.