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Finding the Third Proportional to 238,521,601.13 and 504,543,907.13

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Solution

The third proportional to 238,521,601.13 and 504,543,907.13 is: 1,067,259,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,521,601.13 : 504,543,907.13 = 504,543,907.13 : x
  2. Step 2: Convert to fraction form
    238,521,601.13/504,543,907.13 = 504,543,907.13/x
  3. Step 3: Cross multiply
    238,521,601.13x = 504,543,907.13 × 504,543,907.13
  4. Step 4: Simplify right side
    238,521,601.13x = 254,564,554,216,960,640
  5. Step 5: Solve for x
    x = 254,564,554,216,960,640/238,521,601.13
  6. Step 6: Final answer
    x = 1,067,259,958.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.