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Finding the Third Proportional to 298,158,394.50 and 637,769,180.25

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Solution

The third proportional to 298,158,394.50 and 637,769,180.25 is: 1,364,206,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,158,394.50 : 637,769,180.25 = 637,769,180.25 : x
  2. Step 2: Convert to fraction form
    298,158,394.50/637,769,180.25 = 637,769,180.25/x
  3. Step 3: Cross multiply
    298,158,394.50x = 637,769,180.25 × 637,769,180.25
  4. Step 4: Simplify right side
    298,158,394.50x = 406,749,527,276,756,992
  5. Step 5: Solve for x
    x = 406,749,527,276,756,992/298,158,394.50
  6. Step 6: Final answer
    x = 1,364,206,189.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.