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Finding the Third Proportional to 85,122,816 and 132,075,576

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Solution

The third proportional to 85,122,816 and 132,075,576 is: 204,926,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,122,816 : 132,075,576 = 132,075,576 : x
  2. Step 2: Convert to fraction form
    85,122,816/132,075,576 = 132,075,576/x
  3. Step 3: Cross multiply
    85,122,816x = 132,075,576 × 132,075,576
  4. Step 4: Simplify right side
    85,122,816x = 17,443,957,775,731,776
  5. Step 5: Solve for x
    x = 17,443,957,775,731,776/85,122,816
  6. Step 6: Final answer
    x = 204,926,934.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.