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Finding the Third Proportional to 174,923,625.94 and 404,958,938.06

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Solution

The third proportional to 174,923,625.94 and 404,958,938.06 is: 937,504,814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,923,625.94 : 404,958,938.06 = 404,958,938.06 : x
  2. Step 2: Convert to fraction form
    174,923,625.94/404,958,938.06 = 404,958,938.06/x
  3. Step 3: Cross multiply
    174,923,625.94x = 404,958,938.06 × 404,958,938.06
  4. Step 4: Simplify right side
    174,923,625.94x = 163,991,741,516,707,712
  5. Step 5: Solve for x
    x = 163,991,741,516,707,712/174,923,625.94
  6. Step 6: Final answer
    x = 937,504,814.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.