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Finding the Third Proportional to 165,817,348.50 and 354,928,092

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Solution

The third proportional to 165,817,348.50 and 354,928,092 is: 759,715,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,817,348.50 : 354,928,092 = 354,928,092 : x
  2. Step 2: Convert to fraction form
    165,817,348.50/354,928,092 = 354,928,092/x
  3. Step 3: Cross multiply
    165,817,348.50x = 354,928,092 × 354,928,092
  4. Step 4: Simplify right side
    165,817,348.50x = 125,973,950,490,760,464
  5. Step 5: Solve for x
    x = 125,973,950,490,760,464/165,817,348.50
  6. Step 6: Final answer
    x = 759,715,142.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.