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Finding the Third Proportional to 110,075,904 and 257,045,760

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Solution

The third proportional to 110,075,904 and 257,045,760 is: 600,245,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,075,904 : 257,045,760 = 257,045,760 : x
  2. Step 2: Convert to fraction form
    110,075,904/257,045,760 = 257,045,760/x
  3. Step 3: Cross multiply
    110,075,904x = 257,045,760 × 257,045,760
  4. Step 4: Simplify right side
    110,075,904x = 66,072,522,733,977,600
  5. Step 5: Solve for x
    x = 66,072,522,733,977,600/110,075,904
  6. Step 6: Final answer
    x = 600,245,106.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.