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Finding the Third Proportional to 227,153,505 and 494,106,654

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Solution

The third proportional to 227,153,505 and 494,106,654 is: 1,074,785,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,153,505 : 494,106,654 = 494,106,654 : x
  2. Step 2: Convert to fraction form
    227,153,505/494,106,654 = 494,106,654/x
  3. Step 3: Cross multiply
    227,153,505x = 494,106,654 × 494,106,654
  4. Step 4: Simplify right side
    227,153,505x = 244,141,385,527,075,712
  5. Step 5: Solve for x
    x = 244,141,385,527,075,712/227,153,505
  6. Step 6: Final answer
    x = 1,074,785,905.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.