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Finding the Third Proportional to 194,350,086 and 298,020,897

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Solution

The third proportional to 194,350,086 and 298,020,897 is: 456,992,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,350,086 : 298,020,897 = 298,020,897 : x
  2. Step 2: Convert to fraction form
    194,350,086/298,020,897 = 298,020,897/x
  3. Step 3: Cross multiply
    194,350,086x = 298,020,897 × 298,020,897
  4. Step 4: Simplify right side
    194,350,086x = 88,816,455,048,684,608
  5. Step 5: Solve for x
    x = 88,816,455,048,684,608/194,350,086
  6. Step 6: Final answer
    x = 456,992,105.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.