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Finding the Third Proportional to 166,356,229.50 and 370,962,967.50

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Solution

The third proportional to 166,356,229.50 and 370,962,967.50 is: 827,221,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,356,229.50 : 370,962,967.50 = 370,962,967.50 : x
  2. Step 2: Convert to fraction form
    166,356,229.50/370,962,967.50 = 370,962,967.50/x
  3. Step 3: Cross multiply
    166,356,229.50x = 370,962,967.50 × 370,962,967.50
  4. Step 4: Simplify right side
    166,356,229.50x = 137,613,523,256,406,064
  5. Step 5: Solve for x
    x = 137,613,523,256,406,064/166,356,229.50
  6. Step 6: Final answer
    x = 827,221,942.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.