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Finding the Third Proportional to 170,735,924 and 367,367,089

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Solution

The third proportional to 170,735,924 and 367,367,089 is: 790,452,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,735,924 : 367,367,089 = 367,367,089 : x
  2. Step 2: Convert to fraction form
    170,735,924/367,367,089 = 367,367,089/x
  3. Step 3: Cross multiply
    170,735,924x = 367,367,089 × 367,367,089
  4. Step 4: Simplify right side
    170,735,924x = 134,958,578,080,333,920
  5. Step 5: Solve for x
    x = 134,958,578,080,333,920/170,735,924
  6. Step 6: Final answer
    x = 790,452,149.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.