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Finding the Third Proportional to 75,717,843 and 164,702,230.50

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Solution

The third proportional to 75,717,843 and 164,702,230.50 is: 358,261,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,717,843 : 164,702,230.50 = 164,702,230.50 : x
  2. Step 2: Convert to fraction form
    75,717,843/164,702,230.50 = 164,702,230.50/x
  3. Step 3: Cross multiply
    75,717,843x = 164,702,230.50 × 164,702,230.50
  4. Step 4: Simplify right side
    75,717,843x = 27,126,824,731,675,132
  5. Step 5: Solve for x
    x = 27,126,824,731,675,132/75,717,843
  6. Step 6: Final answer
    x = 358,261,984.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.