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Finding the Third Proportional to 98,143,231.50 and 199,504,390.50

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Solution

The third proportional to 98,143,231.50 and 199,504,390.50 is: 405,550,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,143,231.50 : 199,504,390.50 = 199,504,390.50 : x
  2. Step 2: Convert to fraction form
    98,143,231.50/199,504,390.50 = 199,504,390.50/x
  3. Step 3: Cross multiply
    98,143,231.50x = 199,504,390.50 × 199,504,390.50
  4. Step 4: Simplify right side
    98,143,231.50x = 39,802,001,828,776,488
  5. Step 5: Solve for x
    x = 39,802,001,828,776,488/98,143,231.50
  6. Step 6: Final answer
    x = 405,550,145.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.