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Finding the Third Proportional to 192,341,358 and 297,932,175

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Solution

The third proportional to 192,341,358 and 297,932,175 is: 461,489,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,341,358 : 297,932,175 = 297,932,175 : x
  2. Step 2: Convert to fraction form
    192,341,358/297,932,175 = 297,932,175/x
  3. Step 3: Cross multiply
    192,341,358x = 297,932,175 × 297,932,175
  4. Step 4: Simplify right side
    192,341,358x = 88,763,580,900,230,624
  5. Step 5: Solve for x
    x = 88,763,580,900,230,624/192,341,358
  6. Step 6: Final answer
    x = 461,489,831.53

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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.