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Finding the Third Proportional to 147,664,912 and 321,900,416

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Solution

The third proportional to 147,664,912 and 321,900,416 is: 701,723,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,664,912 : 321,900,416 = 321,900,416 : x
  2. Step 2: Convert to fraction form
    147,664,912/321,900,416 = 321,900,416/x
  3. Step 3: Cross multiply
    147,664,912x = 321,900,416 × 321,900,416
  4. Step 4: Simplify right side
    147,664,912x = 103,619,877,820,973,056
  5. Step 5: Solve for x
    x = 103,619,877,820,973,056/147,664,912
  6. Step 6: Final answer
    x = 701,723,086.53

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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.