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Finding the Third Proportional to 76,452,264 and 165,075,936

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Solution

The third proportional to 76,452,264 and 165,075,936 is: 356,432,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,452,264 : 165,075,936 = 165,075,936 : x
  2. Step 2: Convert to fraction form
    76,452,264/165,075,936 = 165,075,936/x
  3. Step 3: Cross multiply
    76,452,264x = 165,075,936 × 165,075,936
  4. Step 4: Simplify right side
    76,452,264x = 27,250,064,646,276,096
  5. Step 5: Solve for x
    x = 27,250,064,646,276,096/76,452,264
  6. Step 6: Final answer
    x = 356,432,409.20

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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.