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Finding the Third Proportional to 144,351,531 and 336,831,907.50

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Solution

The third proportional to 144,351,531 and 336,831,907.50 is: 785,968,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,351,531 : 336,831,907.50 = 336,831,907.50 : x
  2. Step 2: Convert to fraction form
    144,351,531/336,831,907.50 = 336,831,907.50/x
  3. Step 3: Cross multiply
    144,351,531x = 336,831,907.50 × 336,831,907.50
  4. Step 4: Simplify right side
    144,351,531x = 113,455,733,910,088,560
  5. Step 5: Solve for x
    x = 113,455,733,910,088,560/144,351,531
  6. Step 6: Final answer
    x = 785,968,344.94

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.