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Finding the Third Proportional to 164,222,487 and 229,592,704.50

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Solution

The third proportional to 164,222,487 and 229,592,704.50 is: 320,984,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,222,487 : 229,592,704.50 = 229,592,704.50 : x
  2. Step 2: Convert to fraction form
    164,222,487/229,592,704.50 = 229,592,704.50/x
  3. Step 3: Cross multiply
    164,222,487x = 229,592,704.50 × 229,592,704.50
  4. Step 4: Simplify right side
    164,222,487x = 52,712,809,959,624,320
  5. Step 5: Solve for x
    x = 52,712,809,959,624,320/164,222,487
  6. Step 6: Final answer
    x = 320,984,116.87

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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.