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Finding the Third Proportional to 101,218,297,872.75 and 210,814,374,726.75

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Solution

The third proportional to 101,218,297,872.75 and 210,814,374,726.75 is: 439,077,731,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,218,297,872.75 : 210,814,374,726.75 = 210,814,374,726.75 : x
  2. Step 2: Convert to fraction form
    101,218,297,872.75/210,814,374,726.75 = 210,814,374,726.75/x
  3. Step 3: Cross multiply
    101,218,297,872.75x = 210,814,374,726.75 × 210,814,374,726.75
  4. Step 4: Simplify right side
    101,218,297,872.75x = 44,442,700,591,430,570,606,592
  5. Step 5: Solve for x
    x = 44,442,700,591,430,570,606,592/101,218,297,872.75
  6. Step 6: Final answer
    x = 439,077,731,254.71

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.