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Finding the Third Proportional to 45,768 and 99,148.25

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Solution

The third proportional to 45,768 and 99,148.25 is: 214,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,768 : 99,148.25 = 99,148.25 : x
  2. Step 2: Convert to fraction form
    45,768/99,148.25 = 99,148.25/x
  3. Step 3: Cross multiply
    45,768x = 99,148.25 × 99,148.25
  4. Step 4: Simplify right side
    45,768x = 9,830,375,478.06
  5. Step 5: Solve for x
    x = 9,830,375,478.06/45,768
  6. Step 6: Final answer
    x = 214,787.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.