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Finding the Third Proportional to 234,917,760 and 352,213,614

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Solution

The third proportional to 234,917,760 and 352,213,614 is: 528,075,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,917,760 : 352,213,614 = 352,213,614 : x
  2. Step 2: Convert to fraction form
    234,917,760/352,213,614 = 352,213,614/x
  3. Step 3: Cross multiply
    234,917,760x = 352,213,614 × 352,213,614
  4. Step 4: Simplify right side
    234,917,760x = 124,054,429,886,940,992
  5. Step 5: Solve for x
    x = 124,054,429,886,940,992/234,917,760
  6. Step 6: Final answer
    x = 528,075,995.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.