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Finding the Third Proportional to 146,218,308 and 321,136,080

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Solution

The third proportional to 146,218,308 and 321,136,080 is: 705,304,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,218,308 : 321,136,080 = 321,136,080 : x
  2. Step 2: Convert to fraction form
    146,218,308/321,136,080 = 321,136,080/x
  3. Step 3: Cross multiply
    146,218,308x = 321,136,080 × 321,136,080
  4. Step 4: Simplify right side
    146,218,308x = 103,128,381,877,766,400
  5. Step 5: Solve for x
    x = 103,128,381,877,766,400/146,218,308
  6. Step 6: Final answer
    x = 705,304,166.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.