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Finding the Third Proportional to 281,557,933.88 and 412,257,564.56

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Solution

The third proportional to 281,557,933.88 and 412,257,564.56 is: 603,628,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,557,933.88 : 412,257,564.56 = 412,257,564.56 : x
  2. Step 2: Convert to fraction form
    281,557,933.88/412,257,564.56 = 412,257,564.56/x
  3. Step 3: Cross multiply
    281,557,933.88x = 412,257,564.56 × 412,257,564.56
  4. Step 4: Simplify right side
    281,557,933.88x = 169,956,299,539,003,840
  5. Step 5: Solve for x
    x = 169,956,299,539,003,840/281,557,933.88
  6. Step 6: Final answer
    x = 603,628,167.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.