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Finding the Third Proportional to 144,449,414 and 312,459,460

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Solution

The third proportional to 144,449,414 and 312,459,460 is: 675,883,075.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,449,414 : 312,459,460 = 312,459,460 : x
  2. Step 2: Convert to fraction form
    144,449,414/312,459,460 = 312,459,460/x
  3. Step 3: Cross multiply
    144,449,414x = 312,459,460 × 312,459,460
  4. Step 4: Simplify right side
    144,449,414x = 97,630,914,143,491,600
  5. Step 5: Solve for x
    x = 97,630,914,143,491,600/144,449,414
  6. Step 6: Final answer
    x = 675,883,075.19

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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.