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Finding the Third Proportional to 137,521,170 and 206,281,809

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Solution

The third proportional to 137,521,170 and 206,281,809 is: 309,422,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,521,170 : 206,281,809 = 206,281,809 : x
  2. Step 2: Convert to fraction form
    137,521,170/206,281,809 = 206,281,809/x
  3. Step 3: Cross multiply
    137,521,170x = 206,281,809 × 206,281,809
  4. Step 4: Simplify right side
    137,521,170x = 42,552,184,724,312,480
  5. Step 5: Solve for x
    x = 42,552,184,724,312,480/137,521,170
  6. Step 6: Final answer
    x = 309,422,794.50

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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.