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Finding the Third Proportional to 235,654,153.88 and 508,795,786.13

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Solution

The third proportional to 235,654,153.88 and 508,795,786.13 is: 1,098,529,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,654,153.88 : 508,795,786.13 = 508,795,786.13 : x
  2. Step 2: Convert to fraction form
    235,654,153.88/508,795,786.13 = 508,795,786.13/x
  3. Step 3: Cross multiply
    235,654,153.88x = 508,795,786.13 × 508,795,786.13
  4. Step 4: Simplify right side
    235,654,153.88x = 258,873,151,978,556,736
  5. Step 5: Solve for x
    x = 258,873,151,978,556,736/235,654,153.88
  6. Step 6: Final answer
    x = 1,098,529,975.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.