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Finding the Third Proportional to 143,435,065,014 and 214,362,049,482

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Solution

The third proportional to 143,435,065,014 and 214,362,049,482 is: 320,361,609,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,435,065,014 : 214,362,049,482 = 214,362,049,482 : x
  2. Step 2: Convert to fraction form
    143,435,065,014/214,362,049,482 = 214,362,049,482/x
  3. Step 3: Cross multiply
    143,435,065,014x = 214,362,049,482 × 214,362,049,482
  4. Step 4: Simplify right side
    143,435,065,014x = 45,951,088,258,123,418,304,512
  5. Step 5: Solve for x
    x = 45,951,088,258,123,418,304,512/143,435,065,014
  6. Step 6: Final answer
    x = 320,361,609,301.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.