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Finding the Third Proportional to 117,983,101.75 and 178,614,052.13

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Solution

The third proportional to 117,983,101.75 and 178,614,052.13 is: 270,402,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,983,101.75 : 178,614,052.13 = 178,614,052.13 : x
  2. Step 2: Convert to fraction form
    117,983,101.75/178,614,052.13 = 178,614,052.13/x
  3. Step 3: Cross multiply
    117,983,101.75x = 178,614,052.13 × 178,614,052.13
  4. Step 4: Simplify right side
    117,983,101.75x = 31,902,979,616,512,216
  5. Step 5: Solve for x
    x = 31,902,979,616,512,216/117,983,101.75
  6. Step 6: Final answer
    x = 270,402,957.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.