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Finding the Third Proportional to 129,215,322 and 283,537,130

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Solution

The third proportional to 129,215,322 and 283,537,130 is: 622,165,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,215,322 : 283,537,130 = 283,537,130 : x
  2. Step 2: Convert to fraction form
    129,215,322/283,537,130 = 283,537,130/x
  3. Step 3: Cross multiply
    129,215,322x = 283,537,130 × 283,537,130
  4. Step 4: Simplify right side
    129,215,322x = 80,393,304,088,636,896
  5. Step 5: Solve for x
    x = 80,393,304,088,636,896/129,215,322
  6. Step 6: Final answer
    x = 622,165,412.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.