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Finding the Third Proportional to 321,693,136.88 and 497,097,924.75

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Solution

The third proportional to 321,693,136.88 and 497,097,924.75 is: 768,143,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,693,136.88 : 497,097,924.75 = 497,097,924.75 : x
  2. Step 2: Convert to fraction form
    321,693,136.88/497,097,924.75 = 497,097,924.75/x
  3. Step 3: Cross multiply
    321,693,136.88x = 497,097,924.75 × 497,097,924.75
  4. Step 4: Simplify right side
    321,693,136.88x = 247,106,346,790,756,672
  5. Step 5: Solve for x
    x = 247,106,346,790,756,672/321,693,136.88
  6. Step 6: Final answer
    x = 768,143,048.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.