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Finding the Third Proportional to 129,215,315 and 283,537,117

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Solution

The third proportional to 129,215,315 and 283,537,117 is: 622,165,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,215,315 : 283,537,117 = 283,537,117 : x
  2. Step 2: Convert to fraction form
    129,215,315/283,537,117 = 283,537,117/x
  3. Step 3: Cross multiply
    129,215,315x = 283,537,117 × 283,537,117
  4. Step 4: Simplify right side
    129,215,315x = 80,393,296,716,671,696
  5. Step 5: Solve for x
    x = 80,393,296,716,671,696/129,215,315
  6. Step 6: Final answer
    x = 622,165,388.96

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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.