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Finding the Third Proportional to 145,419,376 and 318,202,493

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Solution

The third proportional to 145,419,376 and 318,202,493 is: 696,281,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,419,376 : 318,202,493 = 318,202,493 : x
  2. Step 2: Convert to fraction form
    145,419,376/318,202,493 = 318,202,493/x
  3. Step 3: Cross multiply
    145,419,376x = 318,202,493 × 318,202,493
  4. Step 4: Simplify right side
    145,419,376x = 101,252,826,551,415,056
  5. Step 5: Solve for x
    x = 101,252,826,551,415,056/145,419,376
  6. Step 6: Final answer
    x = 696,281,536.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.