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Finding the Third Proportional to 102,133,231 and 218,465,898

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Solution

The third proportional to 102,133,231 and 218,465,898 is: 467,304,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,133,231 : 218,465,898 = 218,465,898 : x
  2. Step 2: Convert to fraction form
    102,133,231/218,465,898 = 218,465,898/x
  3. Step 3: Cross multiply
    102,133,231x = 218,465,898 × 218,465,898
  4. Step 4: Simplify right side
    102,133,231x = 47,727,348,588,946,400
  5. Step 5: Solve for x
    x = 47,727,348,588,946,400/102,133,231
  6. Step 6: Final answer
    x = 467,304,795.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.