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Finding the Third Proportional to 52,105,498 and 111,381,796

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Solution

The third proportional to 52,105,498 and 111,381,796 is: 238,092,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,105,498 : 111,381,796 = 111,381,796 : x
  2. Step 2: Convert to fraction form
    52,105,498/111,381,796 = 111,381,796/x
  3. Step 3: Cross multiply
    52,105,498x = 111,381,796 × 111,381,796
  4. Step 4: Simplify right side
    52,105,498x = 12,405,904,480,185,616
  5. Step 5: Solve for x
    x = 12,405,904,480,185,616/52,105,498
  6. Step 6: Final answer
    x = 238,092,043.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.