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Finding the Third Proportional to 214,141,648,408 and 320,363,440,700

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Solution

The third proportional to 214,141,648,408 and 320,363,440,700 is: 479,274,979,436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,141,648,408 : 320,363,440,700 = 320,363,440,700 : x
  2. Step 2: Convert to fraction form
    214,141,648,408/320,363,440,700 = 320,363,440,700/x
  3. Step 3: Cross multiply
    214,141,648,408x = 320,363,440,700 × 320,363,440,700
  4. Step 4: Simplify right side
    214,141,648,408x = 102,632,734,137,142,420,176,896
  5. Step 5: Solve for x
    x = 102,632,734,137,142,420,176,896/214,141,648,408
  6. Step 6: Final answer
    x = 479,274,979,436.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.