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Finding the Third Proportional to 79,821,199.50 and 172,101,739.50

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Solution

The third proportional to 79,821,199.50 and 172,101,739.50 is: 371,066,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,821,199.50 : 172,101,739.50 = 172,101,739.50 : x
  2. Step 2: Convert to fraction form
    79,821,199.50/172,101,739.50 = 172,101,739.50/x
  3. Step 3: Cross multiply
    79,821,199.50x = 172,101,739.50 × 172,101,739.50
  4. Step 4: Simplify right side
    79,821,199.50x = 29,619,008,738,925,860
  5. Step 5: Solve for x
    x = 29,619,008,738,925,860/79,821,199.50
  6. Step 6: Final answer
    x = 371,066,946.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.