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Finding the Third Proportional to 170,912,213,064 and 251,248,535,076

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Solution

The third proportional to 170,912,213,064 and 251,248,535,076 is: 369,346,492,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,912,213,064 : 251,248,535,076 = 251,248,535,076 : x
  2. Step 2: Convert to fraction form
    170,912,213,064/251,248,535,076 = 251,248,535,076/x
  3. Step 3: Cross multiply
    170,912,213,064x = 251,248,535,076 × 251,248,535,076
  4. Step 4: Simplify right side
    170,912,213,064x = 63,125,826,377,836,004,376,576
  5. Step 5: Solve for x
    x = 63,125,826,377,836,004,376,576/170,912,213,064
  6. Step 6: Final answer
    x = 369,346,492,249.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.