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Finding the Third Proportional to 224,470,768.50 and 482,358,897

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Solution

The third proportional to 224,470,768.50 and 482,358,897 is: 1,036,527,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,470,768.50 : 482,358,897 = 482,358,897 : x
  2. Step 2: Convert to fraction form
    224,470,768.50/482,358,897 = 482,358,897/x
  3. Step 3: Cross multiply
    224,470,768.50x = 482,358,897 × 482,358,897
  4. Step 4: Simplify right side
    224,470,768.50x = 232,670,105,515,056,608
  5. Step 5: Solve for x
    x = 232,670,105,515,056,608/224,470,768.50
  6. Step 6: Final answer
    x = 1,036,527,415.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.