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Finding the Third Proportional to 144,449,434 and 312,459,500

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Solution

The third proportional to 144,449,434 and 312,459,500 is: 675,883,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,449,434 : 312,459,500 = 312,459,500 : x
  2. Step 2: Convert to fraction form
    144,449,434/312,459,500 = 312,459,500/x
  3. Step 3: Cross multiply
    144,449,434x = 312,459,500 × 312,459,500
  4. Step 4: Simplify right side
    144,449,434x = 97,630,939,140,250,000
  5. Step 5: Solve for x
    x = 97,630,939,140,250,000/144,449,434
  6. Step 6: Final answer
    x = 675,883,154.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.