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Finding the Third Proportional to 75,985,842 and 165,907,234.50

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Solution

The third proportional to 75,985,842 and 165,907,234.50 is: 362,241,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,985,842 : 165,907,234.50 = 165,907,234.50 : x
  2. Step 2: Convert to fraction form
    75,985,842/165,907,234.50 = 165,907,234.50/x
  3. Step 3: Cross multiply
    75,985,842x = 165,907,234.50 × 165,907,234.50
  4. Step 4: Simplify right side
    75,985,842x = 27,525,210,459,437,992
  5. Step 5: Solve for x
    x = 27,525,210,459,437,992/75,985,842
  6. Step 6: Final answer
    x = 362,241,303.58

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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.