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Finding the Third Proportional to 44,656.88 and 69,116.06

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Solution

The third proportional to 44,656.88 and 69,116.06 is: 106,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,656.88 : 69,116.06 = 69,116.06 : x
  2. Step 2: Convert to fraction form
    44,656.88/69,116.06 = 69,116.06/x
  3. Step 3: Cross multiply
    44,656.88x = 69,116.06 × 69,116.06
  4. Step 4: Simplify right side
    44,656.88x = 4,777,030,095.50
  5. Step 5: Solve for x
    x = 4,777,030,095.50/44,656.88
  6. Step 6: Final answer
    x = 106,971.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.