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Finding the Third Proportional to 102,890,224,271 and 222,877,619,676

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Solution

The third proportional to 102,890,224,271 and 222,877,619,676 is: 482,790,602,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,890,224,271 : 222,877,619,676 = 222,877,619,676 : x
  2. Step 2: Convert to fraction form
    102,890,224,271/222,877,619,676 = 222,877,619,676/x
  3. Step 3: Cross multiply
    102,890,224,271x = 222,877,619,676 × 222,877,619,676
  4. Step 4: Simplify right side
    102,890,224,271x = 49,674,433,352,439,703,797,760
  5. Step 5: Solve for x
    x = 49,674,433,352,439,703,797,760/102,890,224,271
  6. Step 6: Final answer
    x = 482,790,602,356.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.