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Finding the Third Proportional to 144,011,272 and 310,540,544

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Solution

The third proportional to 144,011,272 and 310,540,544 is: 669,638,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,011,272 : 310,540,544 = 310,540,544 : x
  2. Step 2: Convert to fraction form
    144,011,272/310,540,544 = 310,540,544/x
  3. Step 3: Cross multiply
    144,011,272x = 310,540,544 × 310,540,544
  4. Step 4: Simplify right side
    144,011,272x = 96,435,429,467,815,936
  5. Step 5: Solve for x
    x = 96,435,429,467,815,936/144,011,272
  6. Step 6: Final answer
    x = 669,638,064.64

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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.