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Finding the Third Proportional to 102,233,879 and 220,056,695

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Solution

The third proportional to 102,233,879 and 220,056,695 is: 473,668,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,233,879 : 220,056,695 = 220,056,695 : x
  2. Step 2: Convert to fraction form
    102,233,879/220,056,695 = 220,056,695/x
  3. Step 3: Cross multiply
    102,233,879x = 220,056,695 × 220,056,695
  4. Step 4: Simplify right side
    102,233,879x = 48,424,949,014,323,024
  5. Step 5: Solve for x
    x = 48,424,949,014,323,024/102,233,879
  6. Step 6: Final answer
    x = 473,668,313.17

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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.