Home / 164,222,464.50-229,592,670.75

Finding the Third Proportional to 164,222,464.50 and 229,592,670.75

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Solution

The third proportional to 164,222,464.50 and 229,592,670.75 is: 320,984,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,222,464.50 : 229,592,670.75 = 229,592,670.75 : x
  2. Step 2: Convert to fraction form
    164,222,464.50/229,592,670.75 = 229,592,670.75/x
  3. Step 3: Cross multiply
    164,222,464.50x = 229,592,670.75 × 229,592,670.75
  4. Step 4: Simplify right side
    164,222,464.50x = 52,712,794,462,117,904
  5. Step 5: Solve for x
    x = 52,712,794,462,117,904/164,222,464.50
  6. Step 6: Final answer
    x = 320,984,066.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.