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Finding the Third Proportional to 75,985,839 and 165,907,228.50

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Solution

The third proportional to 75,985,839 and 165,907,228.50 is: 362,241,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,985,839 : 165,907,228.50 = 165,907,228.50 : x
  2. Step 2: Convert to fraction form
    75,985,839/165,907,228.50 = 165,907,228.50/x
  3. Step 3: Cross multiply
    75,985,839x = 165,907,228.50 × 165,907,228.50
  4. Step 4: Simplify right side
    75,985,839x = 27,525,208,468,551,212
  5. Step 5: Solve for x
    x = 27,525,208,468,551,212/75,985,839
  6. Step 6: Final answer
    x = 362,241,291.68

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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.