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Finding the Third Proportional to 86,921,728.50 and 184,206,557

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Solution

The third proportional to 86,921,728.50 and 184,206,557 is: 390,374,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,921,728.50 : 184,206,557 = 184,206,557 : x
  2. Step 2: Convert to fraction form
    86,921,728.50/184,206,557 = 184,206,557/x
  3. Step 3: Cross multiply
    86,921,728.50x = 184,206,557 × 184,206,557
  4. Step 4: Simplify right side
    86,921,728.50x = 33,932,055,641,794,248
  5. Step 5: Solve for x
    x = 33,932,055,641,794,248/86,921,728.50
  6. Step 6: Final answer
    x = 390,374,837.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.