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Finding the Third Proportional to 224,186,616 and 485,219,686.50

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Solution

The third proportional to 224,186,616 and 485,219,686.50 is: 1,050,188,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,186,616 : 485,219,686.50 = 485,219,686.50 : x
  2. Step 2: Convert to fraction form
    224,186,616/485,219,686.50 = 485,219,686.50/x
  3. Step 3: Cross multiply
    224,186,616x = 485,219,686.50 × 485,219,686.50
  4. Step 4: Simplify right side
    224,186,616x = 235,438,144,167,158,272
  5. Step 5: Solve for x
    x = 235,438,144,167,158,272/224,186,616
  6. Step 6: Final answer
    x = 1,050,188,224.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.