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Finding the Third Proportional to 268,108,845.75 and 578,541,933

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Solution

The third proportional to 268,108,845.75 and 578,541,933 is: 1,248,413,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,108,845.75 : 578,541,933 = 578,541,933 : x
  2. Step 2: Convert to fraction form
    268,108,845.75/578,541,933 = 578,541,933/x
  3. Step 3: Cross multiply
    268,108,845.75x = 578,541,933 × 578,541,933
  4. Step 4: Simplify right side
    268,108,845.75x = 334,710,768,239,376,512
  5. Step 5: Solve for x
    x = 334,710,768,239,376,512/268,108,845.75
  6. Step 6: Final answer
    x = 1,248,413,745.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.