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Finding the Third Proportional to 232,658,628.75 and 504,092,119.50

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Solution

The third proportional to 232,658,628.75 and 504,092,119.50 is: 1,092,196,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,658,628.75 : 504,092,119.50 = 504,092,119.50 : x
  2. Step 2: Convert to fraction form
    232,658,628.75/504,092,119.50 = 504,092,119.50/x
  3. Step 3: Cross multiply
    232,658,628.75x = 504,092,119.50 × 504,092,119.50
  4. Step 4: Simplify right side
    232,658,628.75x = 254,108,864,942,002,272
  5. Step 5: Solve for x
    x = 254,108,864,942,002,272/232,658,628.75
  6. Step 6: Final answer
    x = 1,092,196,177.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.