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Finding the Third Proportional to 52,339,778 and 114,197,108

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Solution

The third proportional to 52,339,778 and 114,197,108 is: 249,160,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,339,778 : 114,197,108 = 114,197,108 : x
  2. Step 2: Convert to fraction form
    52,339,778/114,197,108 = 114,197,108/x
  3. Step 3: Cross multiply
    52,339,778x = 114,197,108 × 114,197,108
  4. Step 4: Simplify right side
    52,339,778x = 13,040,979,475,563,664
  5. Step 5: Solve for x
    x = 13,040,979,475,563,664/52,339,778
  6. Step 6: Final answer
    x = 249,160,007.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.