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Finding the Third Proportional to 227,153,522 and 494,106,688

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Solution

The third proportional to 227,153,522 and 494,106,688 is: 1,074,785,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,153,522 : 494,106,688 = 494,106,688 : x
  2. Step 2: Convert to fraction form
    227,153,522/494,106,688 = 494,106,688/x
  3. Step 3: Cross multiply
    227,153,522x = 494,106,688 × 494,106,688
  4. Step 4: Simplify right side
    227,153,522x = 244,141,419,126,329,344
  5. Step 5: Solve for x
    x = 244,141,419,126,329,344/227,153,522
  6. Step 6: Final answer
    x = 1,074,785,972.84

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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.