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Finding the Third Proportional to 152,908,255,600 and 212,606,707,012

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Solution

The third proportional to 152,908,255,600 and 212,606,707,012 is: 295,612,631,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,908,255,600 : 212,606,707,012 = 212,606,707,012 : x
  2. Step 2: Convert to fraction form
    152,908,255,600/212,606,707,012 = 212,606,707,012/x
  3. Step 3: Cross multiply
    152,908,255,600x = 212,606,707,012 × 212,606,707,012
  4. Step 4: Simplify right side
    152,908,255,600x = 45,201,611,866,486,408,740,864
  5. Step 5: Solve for x
    x = 45,201,611,866,486,408,740,864/152,908,255,600
  6. Step 6: Final answer
    x = 295,612,631,830.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.