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Finding the Third Proportional to 48,080,038 and 97,857,834

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Solution

The third proportional to 48,080,038 and 97,857,834 is: 199,171,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,080,038 : 97,857,834 = 97,857,834 : x
  2. Step 2: Convert to fraction form
    48,080,038/97,857,834 = 97,857,834/x
  3. Step 3: Cross multiply
    48,080,038x = 97,857,834 × 97,857,834
  4. Step 4: Simplify right side
    48,080,038x = 9,576,155,675,171,556
  5. Step 5: Solve for x
    x = 9,576,155,675,171,556/48,080,038
  6. Step 6: Final answer
    x = 199,171,133.67

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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.