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Finding the Third Proportional to 170,025,529,763 and 393,619,523,319

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Solution

The third proportional to 170,025,529,763 and 393,619,523,319 is: 911,253,323,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,025,529,763 : 393,619,523,319 = 393,619,523,319 : x
  2. Step 2: Convert to fraction form
    170,025,529,763/393,619,523,319 = 393,619,523,319/x
  3. Step 3: Cross multiply
    170,025,529,763x = 393,619,523,319 × 393,619,523,319
  4. Step 4: Simplify right side
    170,025,529,763x = 154,936,329,137,876,788,838,400
  5. Step 5: Solve for x
    x = 154,936,329,137,876,788,838,400/170,025,529,763
  6. Step 6: Final answer
    x = 911,253,323,861.68

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.