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Finding the Third Proportional to 164,222,472 and 229,592,682

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Solution

The third proportional to 164,222,472 and 229,592,682 is: 320,984,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,222,472 : 229,592,682 = 229,592,682 : x
  2. Step 2: Convert to fraction form
    164,222,472/229,592,682 = 229,592,682/x
  3. Step 3: Cross multiply
    164,222,472x = 229,592,682 × 229,592,682
  4. Step 4: Simplify right side
    164,222,472x = 52,712,799,627,953,120
  5. Step 5: Solve for x
    x = 52,712,799,627,953,120/164,222,472
  6. Step 6: Final answer
    x = 320,984,083.27

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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.