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Finding the Third Proportional to 100,676,160.56 and 159,166,693.41

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Solution

The third proportional to 100,676,160.56 and 159,166,693.41 is: 251,638,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,676,160.56 : 159,166,693.41 = 159,166,693.41 : x
  2. Step 2: Convert to fraction form
    100,676,160.56/159,166,693.41 = 159,166,693.41/x
  3. Step 3: Cross multiply
    100,676,160.56x = 159,166,693.41 × 159,166,693.41
  4. Step 4: Simplify right side
    100,676,160.56x = 25,334,036,289,879,188
  5. Step 5: Solve for x
    x = 25,334,036,289,879,188/100,676,160.56
  6. Step 6: Final answer
    x = 251,638,880.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.