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Finding the Third Proportional to 170,025,529,758 and 393,619,523,307

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Solution

The third proportional to 170,025,529,758 and 393,619,523,307 is: 911,253,323,832.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,025,529,758 : 393,619,523,307 = 393,619,523,307 : x
  2. Step 2: Convert to fraction form
    170,025,529,758/393,619,523,307 = 393,619,523,307/x
  3. Step 3: Cross multiply
    170,025,529,758x = 393,619,523,307 × 393,619,523,307
  4. Step 4: Simplify right side
    170,025,529,758x = 154,936,329,128,429,907,607,552
  5. Step 5: Solve for x
    x = 154,936,329,128,429,907,607,552/170,025,529,758
  6. Step 6: Final answer
    x = 911,253,323,832.92

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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.