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Finding the Third Proportional to 75,717,836 and 164,702,220

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Solution

The third proportional to 75,717,836 and 164,702,220 is: 358,261,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,717,836 : 164,702,220 = 164,702,220 : x
  2. Step 2: Convert to fraction form
    75,717,836/164,702,220 = 164,702,220/x
  3. Step 3: Cross multiply
    75,717,836x = 164,702,220 × 164,702,220
  4. Step 4: Simplify right side
    75,717,836x = 27,126,821,272,928,400
  5. Step 5: Solve for x
    x = 27,126,821,272,928,400/75,717,836
  6. Step 6: Final answer
    x = 358,261,972.42

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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.