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Finding the Third Proportional to 144,449,384 and 312,459,400

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Solution

The third proportional to 144,449,384 and 312,459,400 is: 675,882,955.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,449,384 : 312,459,400 = 312,459,400 : x
  2. Step 2: Convert to fraction form
    144,449,384/312,459,400 = 312,459,400/x
  3. Step 3: Cross multiply
    144,449,384x = 312,459,400 × 312,459,400
  4. Step 4: Simplify right side
    144,449,384x = 97,630,876,648,360,000
  5. Step 5: Solve for x
    x = 97,630,876,648,360,000/144,449,384
  6. Step 6: Final answer
    x = 675,882,955.99

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