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Finding the Third Proportional to 169,924,140.75 and 365,994,759.75

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Solution

The third proportional to 169,924,140.75 and 365,994,759.75 is: 788,305,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,924,140.75 : 365,994,759.75 = 365,994,759.75 : x
  2. Step 2: Convert to fraction form
    169,924,140.75/365,994,759.75 = 365,994,759.75/x
  3. Step 3: Cross multiply
    169,924,140.75x = 365,994,759.75 × 365,994,759.75
  4. Step 4: Simplify right side
    169,924,140.75x = 133,952,164,164,460,224
  5. Step 5: Solve for x
    x = 133,952,164,164,460,224/169,924,140.75
  6. Step 6: Final answer
    x = 788,305,673.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.