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Finding the Third Proportional to 100,347 and 154,930.50

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Solution

The third proportional to 100,347 and 154,930.50 is: 239,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,347 : 154,930.50 = 154,930.50 : x
  2. Step 2: Convert to fraction form
    100,347/154,930.50 = 154,930.50/x
  3. Step 3: Cross multiply
    100,347x = 154,930.50 × 154,930.50
  4. Step 4: Simplify right side
    100,347x = 24,003,459,830.25
  5. Step 5: Solve for x
    x = 24,003,459,830.25/100,347
  6. Step 6: Final answer
    x = 239,204.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.