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Finding the Third Proportional to 443,616,306 and 989,234,148

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Solution

The third proportional to 443,616,306 and 989,234,148 is: 2,205,924,774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,616,306 : 989,234,148 = 989,234,148 : x
  2. Step 2: Convert to fraction form
    443,616,306/989,234,148 = 989,234,148/x
  3. Step 3: Cross multiply
    443,616,306x = 989,234,148 × 989,234,148
  4. Step 4: Simplify right side
    443,616,306x = 978,584,199,569,285,888
  5. Step 5: Solve for x
    x = 978,584,199,569,285,888/443,616,306
  6. Step 6: Final answer
    x = 2,205,924,774.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.