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Finding the Third Proportional to 129,352,181,160 and 281,481,677,178

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Solution

The third proportional to 129,352,181,160 and 281,481,677,178 is: 612,528,786,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,352,181,160 : 281,481,677,178 = 281,481,677,178 : x
  2. Step 2: Convert to fraction form
    129,352,181,160/281,481,677,178 = 281,481,677,178/x
  3. Step 3: Cross multiply
    129,352,181,160x = 281,481,677,178 × 281,481,677,178
  4. Step 4: Simplify right side
    129,352,181,160x = 79,231,934,586,939,798,192,128
  5. Step 5: Solve for x
    x = 79,231,934,586,939,798,192,128/129,352,181,160
  6. Step 6: Final answer
    x = 612,528,786,730.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.