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Finding the Third Proportional to 106,006,250 and 159,121,563

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Solution

The third proportional to 106,006,250 and 159,121,563 is: 238,850,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,006,250 : 159,121,563 = 159,121,563 : x
  2. Step 2: Convert to fraction form
    106,006,250/159,121,563 = 159,121,563/x
  3. Step 3: Cross multiply
    106,006,250x = 159,121,563 × 159,121,563
  4. Step 4: Simplify right side
    106,006,250x = 25,319,671,811,562,968
  5. Step 5: Solve for x
    x = 25,319,671,811,562,968/106,006,250
  6. Step 6: Final answer
    x = 238,850,745.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.