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Finding the Third Proportional to 106,006,228.88 and 159,121,533.38

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Solution

The third proportional to 106,006,228.88 and 159,121,533.38 is: 238,850,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,006,228.88 : 159,121,533.38 = 159,121,533.38 : x
  2. Step 2: Convert to fraction form
    106,006,228.88/159,121,533.38 = 159,121,533.38/x
  3. Step 3: Cross multiply
    106,006,228.88x = 159,121,533.38 × 159,121,533.38
  4. Step 4: Simplify right side
    106,006,228.88x = 25,319,662,383,611,240
  5. Step 5: Solve for x
    x = 25,319,662,383,611,240/106,006,228.88
  6. Step 6: Final answer
    x = 238,850,703.89

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