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Finding the Third Proportional to 102,233,042 and 220,055,020

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Solution

The third proportional to 102,233,042 and 220,055,020 is: 473,664,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,233,042 : 220,055,020 = 220,055,020 : x
  2. Step 2: Convert to fraction form
    102,233,042/220,055,020 = 220,055,020/x
  3. Step 3: Cross multiply
    102,233,042x = 220,055,020 × 220,055,020
  4. Step 4: Simplify right side
    102,233,042x = 48,424,211,827,200,400
  5. Step 5: Solve for x
    x = 48,424,211,827,200,400/102,233,042
  6. Step 6: Final answer
    x = 473,664,980.32

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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.