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Finding the Third Proportional to 105,759,967 and 231,950,314

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Solution

The third proportional to 105,759,967 and 231,950,314 is: 508,708,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,759,967 : 231,950,314 = 231,950,314 : x
  2. Step 2: Convert to fraction form
    105,759,967/231,950,314 = 231,950,314/x
  3. Step 3: Cross multiply
    105,759,967x = 231,950,314 × 231,950,314
  4. Step 4: Simplify right side
    105,759,967x = 53,800,948,164,698,592
  5. Step 5: Solve for x
    x = 53,800,948,164,698,592/105,759,967
  6. Step 6: Final answer
    x = 508,708,064.98

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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.