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Finding the Third Proportional to 135,177,474 and 277,521,055.50

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Solution

The third proportional to 135,177,474 and 277,521,055.50 is: 569,754,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,177,474 : 277,521,055.50 = 277,521,055.50 : x
  2. Step 2: Convert to fraction form
    135,177,474/277,521,055.50 = 277,521,055.50/x
  3. Step 3: Cross multiply
    135,177,474x = 277,521,055.50 × 277,521,055.50
  4. Step 4: Simplify right side
    135,177,474x = 77,017,936,245,834,080
  5. Step 5: Solve for x
    x = 77,017,936,245,834,080/135,177,474
  6. Step 6: Final answer
    x = 569,754,219.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.