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Finding the Third Proportional to 178,094,106 and 268,542,586

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Solution

The third proportional to 178,094,106 and 268,542,586 is: 404,927,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,094,106 : 268,542,586 = 268,542,586 : x
  2. Step 2: Convert to fraction form
    178,094,106/268,542,586 = 268,542,586/x
  3. Step 3: Cross multiply
    178,094,106x = 268,542,586 × 268,542,586
  4. Step 4: Simplify right side
    178,094,106x = 72,115,120,495,567,392
  5. Step 5: Solve for x
    x = 72,115,120,495,567,392/178,094,106
  6. Step 6: Final answer
    x = 404,927,047.36

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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.