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Finding the Third Proportional to 86,075,813 and 184,904,590

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Solution

The third proportional to 86,075,813 and 184,904,590 is: 397,204,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,075,813 : 184,904,590 = 184,904,590 : x
  2. Step 2: Convert to fraction form
    86,075,813/184,904,590 = 184,904,590/x
  3. Step 3: Cross multiply
    86,075,813x = 184,904,590 × 184,904,590
  4. Step 4: Simplify right side
    86,075,813x = 34,189,707,403,068,100
  5. Step 5: Solve for x
    x = 34,189,707,403,068,100/86,075,813
  6. Step 6: Final answer
    x = 397,204,582.93

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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.