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Finding the Third Proportional to 105,823,681.75 and 227,864,616.75

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Solution

The third proportional to 105,823,681.75 and 227,864,616.75 is: 490,648,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,823,681.75 : 227,864,616.75 = 227,864,616.75 : x
  2. Step 2: Convert to fraction form
    105,823,681.75/227,864,616.75 = 227,864,616.75/x
  3. Step 3: Cross multiply
    105,823,681.75x = 227,864,616.75 × 227,864,616.75
  4. Step 4: Simplify right side
    105,823,681.75x = 51,922,283,566,624,384
  5. Step 5: Solve for x
    x = 51,922,283,566,624,384/105,823,681.75
  6. Step 6: Final answer
    x = 490,648,999.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.