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Finding the Third Proportional to 100,904.63 and 158,307.75

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Solution

The third proportional to 100,904.63 and 158,307.75 is: 248,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,904.63 : 158,307.75 = 158,307.75 : x
  2. Step 2: Convert to fraction form
    100,904.63/158,307.75 = 158,307.75/x
  3. Step 3: Cross multiply
    100,904.63x = 158,307.75 × 158,307.75
  4. Step 4: Simplify right side
    100,904.63x = 25,061,343,710.06
  5. Step 5: Solve for x
    x = 25,061,343,710.06/100,904.63
  6. Step 6: Final answer
    x = 248,366.65

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.