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Finding the Third Proportional to 146,139,740 and 318,005,956

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Solution

The third proportional to 146,139,740 and 318,005,956 is: 691,993,759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,139,740 : 318,005,956 = 318,005,956 : x
  2. Step 2: Convert to fraction form
    146,139,740/318,005,956 = 318,005,956/x
  3. Step 3: Cross multiply
    146,139,740x = 318,005,956 × 318,005,956
  4. Step 4: Simplify right side
    146,139,740x = 101,127,788,051,473,936
  5. Step 5: Solve for x
    x = 101,127,788,051,473,936/146,139,740
  6. Step 6: Final answer
    x = 691,993,759.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.