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Finding the Third Proportional to 109,677,338 and 238,234,804

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Solution

The third proportional to 109,677,338 and 238,234,804 is: 517,479,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,677,338 : 238,234,804 = 238,234,804 : x
  2. Step 2: Convert to fraction form
    109,677,338/238,234,804 = 238,234,804/x
  3. Step 3: Cross multiply
    109,677,338x = 238,234,804 × 238,234,804
  4. Step 4: Simplify right side
    109,677,338x = 56,755,821,836,918,416
  5. Step 5: Solve for x
    x = 56,755,821,836,918,416/109,677,338
  6. Step 6: Final answer
    x = 517,479,935.89

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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.