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Finding the Third Proportional to 177,660,410.06 and 276,178,982.06

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Solution

The third proportional to 177,660,410.06 and 276,178,982.06 is: 429,329,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,660,410.06 : 276,178,982.06 = 276,178,982.06 : x
  2. Step 2: Convert to fraction form
    177,660,410.06/276,178,982.06 = 276,178,982.06/x
  3. Step 3: Cross multiply
    177,660,410.06x = 276,178,982.06 × 276,178,982.06
  4. Step 4: Simplify right side
    177,660,410.06x = 76,274,830,133,078,704
  5. Step 5: Solve for x
    x = 76,274,830,133,078,704/177,660,410.06
  6. Step 6: Final answer
    x = 429,329,359.91

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Why These Related Problems?

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