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Finding the Third Proportional to 144,253,467 and 340,189,726.50

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Solution

The third proportional to 144,253,467 and 340,189,726.50 is: 802,261,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,253,467 : 340,189,726.50 = 340,189,726.50 : x
  2. Step 2: Convert to fraction form
    144,253,467/340,189,726.50 = 340,189,726.50/x
  3. Step 3: Cross multiply
    144,253,467x = 340,189,726.50 × 340,189,726.50
  4. Step 4: Simplify right side
    144,253,467x = 115,729,050,016,144,800
  5. Step 5: Solve for x
    x = 115,729,050,016,144,800/144,253,467
  6. Step 6: Final answer
    x = 802,261,827.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.