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Finding the Third Proportional to 219,333,465 and 340,714,041

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Solution

The third proportional to 219,333,465 and 340,714,041 is: 529,267,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,333,465 : 340,714,041 = 340,714,041 : x
  2. Step 2: Convert to fraction form
    219,333,465/340,714,041 = 340,714,041/x
  3. Step 3: Cross multiply
    219,333,465x = 340,714,041 × 340,714,041
  4. Step 4: Simplify right side
    219,333,465x = 116,086,057,734,549,680
  5. Step 5: Solve for x
    x = 116,086,057,734,549,680/219,333,465
  6. Step 6: Final answer
    x = 529,267,422.71

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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.