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Finding the Third Proportional to 102,734,898 and 140,874,507

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Solution

The third proportional to 102,734,898 and 140,874,507 is: 193,173,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,734,898 : 140,874,507 = 140,874,507 : x
  2. Step 2: Convert to fraction form
    102,734,898/140,874,507 = 140,874,507/x
  3. Step 3: Cross multiply
    102,734,898x = 140,874,507 × 140,874,507
  4. Step 4: Simplify right side
    102,734,898x = 19,845,626,722,493,048
  5. Step 5: Solve for x
    x = 19,845,626,722,493,048/102,734,898
  6. Step 6: Final answer
    x = 193,173,177.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.