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Finding the Third Proportional to 48,080,036 and 97,857,830

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Solution

The third proportional to 48,080,036 and 97,857,830 is: 199,171,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,080,036 : 97,857,830 = 97,857,830 : x
  2. Step 2: Convert to fraction form
    48,080,036/97,857,830 = 97,857,830/x
  3. Step 3: Cross multiply
    48,080,036x = 97,857,830 × 97,857,830
  4. Step 4: Simplify right side
    48,080,036x = 9,576,154,892,308,900
  5. Step 5: Solve for x
    x = 9,576,154,892,308,900/48,080,036
  6. Step 6: Final answer
    x = 199,171,125.67

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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.