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Finding the Third Proportional to 164,220,222 and 229,589,931

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Solution

The third proportional to 164,220,222 and 229,589,931 is: 320,980,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,220,222 : 229,589,931 = 229,589,931 : x
  2. Step 2: Convert to fraction form
    164,220,222/229,589,931 = 229,589,931/x
  3. Step 3: Cross multiply
    164,220,222x = 229,589,931 × 229,589,931
  4. Step 4: Simplify right side
    164,220,222x = 52,711,536,416,584,760
  5. Step 5: Solve for x
    x = 52,711,536,416,584,760/164,220,222
  6. Step 6: Final answer
    x = 320,980,788.93

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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.