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Finding the Third Proportional to 48,080,028 and 97,857,813

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Solution

The third proportional to 48,080,028 and 97,857,813 is: 199,171,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,080,028 : 97,857,813 = 97,857,813 : x
  2. Step 2: Convert to fraction form
    48,080,028/97,857,813 = 97,857,813/x
  3. Step 3: Cross multiply
    48,080,028x = 97,857,813 × 97,857,813
  4. Step 4: Simplify right side
    48,080,028x = 9,576,151,565,142,968
  5. Step 5: Solve for x
    x = 9,576,151,565,142,968/48,080,028
  6. Step 6: Final answer
    x = 199,171,089.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.