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Finding the Third Proportional to 171,945,564.94 and 363,298,729.88

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Solution

The third proportional to 171,945,564.94 and 363,298,729.88 is: 767,603,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,945,564.94 : 363,298,729.88 = 363,298,729.88 : x
  2. Step 2: Convert to fraction form
    171,945,564.94/363,298,729.88 = 363,298,729.88/x
  3. Step 3: Cross multiply
    171,945,564.94x = 363,298,729.88 × 363,298,729.88
  4. Step 4: Simplify right side
    171,945,564.94x = 131,985,967,128,788,224
  5. Step 5: Solve for x
    x = 131,985,967,128,788,224/171,945,564.94
  6. Step 6: Final answer
    x = 767,603,207.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.