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Finding the Third Proportional to 234,088,344 and 509,385,696

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Solution

The third proportional to 234,088,344 and 509,385,696 is: 1,108,443,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,088,344 : 509,385,696 = 509,385,696 : x
  2. Step 2: Convert to fraction form
    234,088,344/509,385,696 = 509,385,696/x
  3. Step 3: Cross multiply
    234,088,344x = 509,385,696 × 509,385,696
  4. Step 4: Simplify right side
    234,088,344x = 259,473,787,289,404,416
  5. Step 5: Solve for x
    x = 259,473,787,289,404,416/234,088,344
  6. Step 6: Final answer
    x = 1,108,443,858.65

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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.