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Finding the Third Proportional to 170,056,237,248 and 365,349,367,512

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Solution

The third proportional to 170,056,237,248 and 365,349,367,512 is: 784,917,757,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,056,237,248 : 365,349,367,512 = 365,349,367,512 : x
  2. Step 2: Convert to fraction form
    170,056,237,248/365,349,367,512 = 365,349,367,512/x
  3. Step 3: Cross multiply
    170,056,237,248x = 365,349,367,512 × 365,349,367,512
  4. Step 4: Simplify right side
    170,056,237,248x = 133,480,160,341,418,447,994,880
  5. Step 5: Solve for x
    x = 133,480,160,341,418,447,994,880/170,056,237,248
  6. Step 6: Final answer
    x = 784,917,757,216.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.