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Finding the Third Proportional to 86,075,815 and 184,904,594

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Solution

The third proportional to 86,075,815 and 184,904,594 is: 397,204,590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,075,815 : 184,904,594 = 184,904,594 : x
  2. Step 2: Convert to fraction form
    86,075,815/184,904,594 = 184,904,594/x
  3. Step 3: Cross multiply
    86,075,815x = 184,904,594 × 184,904,594
  4. Step 4: Simplify right side
    86,075,815x = 34,189,708,882,304,836
  5. Step 5: Solve for x
    x = 34,189,708,882,304,836/86,075,815
  6. Step 6: Final answer
    x = 397,204,590.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.