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Finding the Third Proportional to 196,494,561 and 294,885,697.50

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Solution

The third proportional to 196,494,561 and 294,885,697.50 is: 442,544,435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,494,561 : 294,885,697.50 = 294,885,697.50 : x
  2. Step 2: Convert to fraction form
    196,494,561/294,885,697.50 = 294,885,697.50/x
  3. Step 3: Cross multiply
    196,494,561x = 294,885,697.50 × 294,885,697.50
  4. Step 4: Simplify right side
    196,494,561x = 86,957,574,590,061,504
  5. Step 5: Solve for x
    x = 86,957,574,590,061,504/196,494,561
  6. Step 6: Final answer
    x = 442,544,435.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.