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Finding the Third Proportional to 260,248,146.75 and 346,958,812.13

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Solution

The third proportional to 260,248,146.75 and 346,958,812.13 is: 462,560,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,248,146.75 : 346,958,812.13 = 346,958,812.13 : x
  2. Step 2: Convert to fraction form
    260,248,146.75/346,958,812.13 = 346,958,812.13/x
  3. Step 3: Cross multiply
    260,248,146.75x = 346,958,812.13 × 346,958,812.13
  4. Step 4: Simplify right side
    260,248,146.75x = 120,380,417,311,191,040
  5. Step 5: Solve for x
    x = 120,380,417,311,191,040/260,248,146.75
  6. Step 6: Final answer
    x = 462,560,132.76

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.