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Finding the Third Proportional to 134,114,868 and 205,021,638

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Solution

The third proportional to 134,114,868 and 205,021,638 is: 313,416,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,114,868 : 205,021,638 = 205,021,638 : x
  2. Step 2: Convert to fraction form
    134,114,868/205,021,638 = 205,021,638/x
  3. Step 3: Cross multiply
    134,114,868x = 205,021,638 × 205,021,638
  4. Step 4: Simplify right side
    134,114,868x = 42,033,872,048,203,040
  5. Step 5: Solve for x
    x = 42,033,872,048,203,040/134,114,868
  6. Step 6: Final answer
    x = 313,416,943.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.