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Finding the Third Proportional to 106,333,893 and 159,323,449.50

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Solution

The third proportional to 106,333,893 and 159,323,449.50 is: 238,719,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,333,893 : 159,323,449.50 = 159,323,449.50 : x
  2. Step 2: Convert to fraction form
    106,333,893/159,323,449.50 = 159,323,449.50/x
  3. Step 3: Cross multiply
    106,333,893x = 159,323,449.50 × 159,323,449.50
  4. Step 4: Simplify right side
    106,333,893x = 25,383,961,560,579,052
  5. Step 5: Solve for x
    x = 25,383,961,560,579,052/106,333,893
  6. Step 6: Final answer
    x = 238,719,385.18

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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.