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Finding the Third Proportional to 197,207,028 and 306,575,361

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Solution

The third proportional to 197,207,028 and 306,575,361 is: 476,597,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,207,028 : 306,575,361 = 306,575,361 : x
  2. Step 2: Convert to fraction form
    197,207,028/306,575,361 = 306,575,361/x
  3. Step 3: Cross multiply
    197,207,028x = 306,575,361 × 306,575,361
  4. Step 4: Simplify right side
    197,207,028x = 93,988,451,972,280,320
  5. Step 5: Solve for x
    x = 93,988,451,972,280,320/197,207,028
  6. Step 6: Final answer
    x = 476,597,882.57

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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.