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Finding the Third Proportional to 105,759,965.46 and 231,950,309.70

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Solution

The third proportional to 105,759,965.46 and 231,950,309.70 is: 508,708,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,759,965.46 : 231,950,309.70 = 231,950,309.70 : x
  2. Step 2: Convert to fraction form
    105,759,965.46/231,950,309.70 = 231,950,309.70/x
  3. Step 3: Cross multiply
    105,759,965.46x = 231,950,309.70 × 231,950,309.70
  4. Step 4: Simplify right side
    105,759,965.46x = 53,800,946,167,754,864
  5. Step 5: Solve for x
    x = 53,800,946,167,754,864/105,759,965.46
  6. Step 6: Final answer
    x = 508,708,053.50

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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.