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Finding the Third Proportional to 178,090,863 and 268,537,786

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Solution

The third proportional to 178,090,863 and 268,537,786 is: 404,919,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,090,863 : 268,537,786 = 268,537,786 : x
  2. Step 2: Convert to fraction form
    178,090,863/268,537,786 = 268,537,786/x
  3. Step 3: Cross multiply
    178,090,863x = 268,537,786 × 268,537,786
  4. Step 4: Simplify right side
    178,090,863x = 72,112,542,509,781,792
  5. Step 5: Solve for x
    x = 72,112,542,509,781,792/178,090,863
  6. Step 6: Final answer
    x = 404,919,945.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.