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Finding the Third Proportional to 48,497,932 and 105,068,064

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Solution

The third proportional to 48,497,932 and 105,068,064 is: 227,624,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,497,932 : 105,068,064 = 105,068,064 : x
  2. Step 2: Convert to fraction form
    48,497,932/105,068,064 = 105,068,064/x
  3. Step 3: Cross multiply
    48,497,932x = 105,068,064 × 105,068,064
  4. Step 4: Simplify right side
    48,497,932x = 11,039,298,072,708,096
  5. Step 5: Solve for x
    x = 11,039,298,072,708,096/48,497,932
  6. Step 6: Final answer
    x = 227,624,098.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.