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Finding the Third Proportional to 170,912,213,066 and 251,248,535,078

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Solution

The third proportional to 170,912,213,066 and 251,248,535,078 is: 369,346,492,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,912,213,066 : 251,248,535,078 = 251,248,535,078 : x
  2. Step 2: Convert to fraction form
    170,912,213,066/251,248,535,078 = 251,248,535,078/x
  3. Step 3: Cross multiply
    170,912,213,066x = 251,248,535,078 × 251,248,535,078
  4. Step 4: Simplify right side
    170,912,213,066x = 63,125,826,378,840,993,169,408
  5. Step 5: Solve for x
    x = 63,125,826,378,840,993,169,408/170,912,213,066
  6. Step 6: Final answer
    x = 369,346,492,251.34

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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.