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Finding the Third Proportional to 113,721,977 and 174,689,423

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Solution

The third proportional to 113,721,977 and 174,689,423 is: 268,342,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,721,977 : 174,689,423 = 174,689,423 : x
  2. Step 2: Convert to fraction form
    113,721,977/174,689,423 = 174,689,423/x
  3. Step 3: Cross multiply
    113,721,977x = 174,689,423 × 174,689,423
  4. Step 4: Simplify right side
    113,721,977x = 30,516,394,508,072,928
  5. Step 5: Solve for x
    x = 30,516,394,508,072,928/113,721,977
  6. Step 6: Final answer
    x = 268,342,103.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.