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Finding the Third Proportional to 147,223,899 and 309,678,093

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Solution

The third proportional to 147,223,899 and 309,678,093 is: 651,392,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,223,899 : 309,678,093 = 309,678,093 : x
  2. Step 2: Convert to fraction form
    147,223,899/309,678,093 = 309,678,093/x
  3. Step 3: Cross multiply
    147,223,899x = 309,678,093 × 309,678,093
  4. Step 4: Simplify right side
    147,223,899x = 95,900,521,284,116,656
  5. Step 5: Solve for x
    x = 95,900,521,284,116,656/147,223,899
  6. Step 6: Final answer
    x = 651,392,348.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.