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Finding the Third Proportional to 164,220,220 and 229,589,928

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Solution

The third proportional to 164,220,220 and 229,589,928 is: 320,980,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,220,220 : 229,589,928 = 229,589,928 : x
  2. Step 2: Convert to fraction form
    164,220,220/229,589,928 = 229,589,928/x
  3. Step 3: Cross multiply
    164,220,220x = 229,589,928 × 229,589,928
  4. Step 4: Simplify right side
    164,220,220x = 52,711,535,039,045,184
  5. Step 5: Solve for x
    x = 52,711,535,039,045,184/164,220,220
  6. Step 6: Final answer
    x = 320,980,784.46

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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.