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Finding the Third Proportional to 234,678,993 and 488,671,075

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Solution

The third proportional to 234,678,993 and 488,671,075 is: 1,017,557,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,678,993 : 488,671,075 = 488,671,075 : x
  2. Step 2: Convert to fraction form
    234,678,993/488,671,075 = 488,671,075/x
  3. Step 3: Cross multiply
    234,678,993x = 488,671,075 × 488,671,075
  4. Step 4: Simplify right side
    234,678,993x = 238,799,419,541,655,616
  5. Step 5: Solve for x
    x = 238,799,419,541,655,616/234,678,993
  6. Step 6: Final answer
    x = 1,017,557,713.58

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.