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Finding the Third Proportional to 164,222,474 and 229,592,685

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Solution

The third proportional to 164,222,474 and 229,592,685 is: 320,984,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,222,474 : 229,592,685 = 229,592,685 : x
  2. Step 2: Convert to fraction form
    164,222,474/229,592,685 = 229,592,685/x
  3. Step 3: Cross multiply
    164,222,474x = 229,592,685 × 229,592,685
  4. Step 4: Simplify right side
    164,222,474x = 52,712,801,005,509,224
  5. Step 5: Solve for x
    x = 52,712,801,005,509,224/164,222,474
  6. Step 6: Final answer
    x = 320,984,087.75

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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.