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Finding the Third Proportional to 174,049,983 and 261,075,006

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Solution

The third proportional to 174,049,983 and 261,075,006 is: 391,612,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,049,983 : 261,075,006 = 261,075,006 : x
  2. Step 2: Convert to fraction form
    174,049,983/261,075,006 = 261,075,006/x
  3. Step 3: Cross multiply
    174,049,983x = 261,075,006 × 261,075,006
  4. Step 4: Simplify right side
    174,049,983x = 68,160,158,757,900,032
  5. Step 5: Solve for x
    x = 68,160,158,757,900,032/174,049,983
  6. Step 6: Final answer
    x = 391,612,556.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.