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Finding the Third Proportional to 146,436,786 and 321,007,140

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Solution

The third proportional to 146,436,786 and 321,007,140 is: 703,686,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,436,786 : 321,007,140 = 321,007,140 : x
  2. Step 2: Convert to fraction form
    146,436,786/321,007,140 = 321,007,140/x
  3. Step 3: Cross multiply
    146,436,786x = 321,007,140 × 321,007,140
  4. Step 4: Simplify right side
    146,436,786x = 103,045,583,930,979,600
  5. Step 5: Solve for x
    x = 103,045,583,930,979,600/146,436,786
  6. Step 6: Final answer
    x = 703,686,462.57

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Why These Related Problems?

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