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Finding the Third Proportional to 47,111.63 and 98,870.63

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Solution

The third proportional to 47,111.63 and 98,870.63 is: 207,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,111.63 : 98,870.63 = 98,870.63 : x
  2. Step 2: Convert to fraction form
    47,111.63/98,870.63 = 98,870.63/x
  3. Step 3: Cross multiply
    47,111.63x = 98,870.63 × 98,870.63
  4. Step 4: Simplify right side
    47,111.63x = 9,775,400,487.89
  5. Step 5: Solve for x
    x = 9,775,400,487.89/47,111.63
  6. Step 6: Final answer
    x = 207,494.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.