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Finding the Third Proportional to 102,233,864 and 220,056,664

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Solution

The third proportional to 102,233,864 and 220,056,664 is: 473,668,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,233,864 : 220,056,664 = 220,056,664 : x
  2. Step 2: Convert to fraction form
    102,233,864/220,056,664 = 220,056,664/x
  3. Step 3: Cross multiply
    102,233,864x = 220,056,664 × 220,056,664
  4. Step 4: Simplify right side
    102,233,864x = 48,424,935,370,808,896
  5. Step 5: Solve for x
    x = 48,424,935,370,808,896/102,233,864
  6. Step 6: Final answer
    x = 473,668,249.21

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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.