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Finding the Third Proportional to 105,696,736 and 232,178,576

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Solution

The third proportional to 105,696,736 and 232,178,576 is: 510,014,719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,696,736 : 232,178,576 = 232,178,576 : x
  2. Step 2: Convert to fraction form
    105,696,736/232,178,576 = 232,178,576/x
  3. Step 3: Cross multiply
    105,696,736x = 232,178,576 × 232,178,576
  4. Step 4: Simplify right side
    105,696,736x = 53,906,891,153,387,776
  5. Step 5: Solve for x
    x = 53,906,891,153,387,776/105,696,736
  6. Step 6: Final answer
    x = 510,014,719.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.