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Finding the Third Proportional to 106,006,308 and 159,121,644

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Solution

The third proportional to 106,006,308 and 159,121,644 is: 238,850,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,006,308 : 159,121,644 = 159,121,644 : x
  2. Step 2: Convert to fraction form
    106,006,308/159,121,644 = 159,121,644/x
  3. Step 3: Cross multiply
    106,006,308x = 159,121,644 × 159,121,644
  4. Step 4: Simplify right side
    106,006,308x = 25,319,697,589,262,736
  5. Step 5: Solve for x
    x = 25,319,697,589,262,736/106,006,308
  6. Step 6: Final answer
    x = 238,850,857.72

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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.