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Finding the Third Proportional to 224,166,694.50 and 492,464,862

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Solution

The third proportional to 224,166,694.50 and 492,464,862 is: 1,081,880,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,166,694.50 : 492,464,862 = 492,464,862 : x
  2. Step 2: Convert to fraction form
    224,166,694.50/492,464,862 = 492,464,862/x
  3. Step 3: Cross multiply
    224,166,694.50x = 492,464,862 × 492,464,862
  4. Step 4: Simplify right side
    224,166,694.50x = 242,521,640,304,679,040
  5. Step 5: Solve for x
    x = 242,521,640,304,679,040/224,166,694.50
  6. Step 6: Final answer
    x = 1,081,880,788.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.