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Finding the Third Proportional to 105,823,693.50 and 227,864,640

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Solution

The third proportional to 105,823,693.50 and 227,864,640 is: 490,649,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,823,693.50 : 227,864,640 = 227,864,640 : x
  2. Step 2: Convert to fraction form
    105,823,693.50/227,864,640 = 227,864,640/x
  3. Step 3: Cross multiply
    105,823,693.50x = 227,864,640 × 227,864,640
  4. Step 4: Simplify right side
    105,823,693.50x = 51,922,294,162,329,600
  5. Step 5: Solve for x
    x = 51,922,294,162,329,600/105,823,693.50
  6. Step 6: Final answer
    x = 490,649,045.08

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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.