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Finding the Third Proportional to 214,141,648,400 and 320,363,440,688

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Solution

The third proportional to 214,141,648,400 and 320,363,440,688 is: 479,274,979,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,141,648,400 : 320,363,440,688 = 320,363,440,688 : x
  2. Step 2: Convert to fraction form
    214,141,648,400/320,363,440,688 = 320,363,440,688/x
  3. Step 3: Cross multiply
    214,141,648,400x = 320,363,440,688 × 320,363,440,688
  4. Step 4: Simplify right side
    214,141,648,400x = 102,632,734,129,453,690,519,552
  5. Step 5: Solve for x
    x = 102,632,734,129,453,690,519,552/214,141,648,400
  6. Step 6: Final answer
    x = 479,274,979,418.03

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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.