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Finding the Third Proportional to 305,116,722 and 662,248,231.50

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Solution

The third proportional to 305,116,722 and 662,248,231.50 is: 1,437,393,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,116,722 : 662,248,231.50 = 662,248,231.50 : x
  2. Step 2: Convert to fraction form
    305,116,722/662,248,231.50 = 662,248,231.50/x
  3. Step 3: Cross multiply
    305,116,722x = 662,248,231.50 × 662,248,231.50
  4. Step 4: Simplify right side
    305,116,722x = 438,572,720,124,877,568
  5. Step 5: Solve for x
    x = 438,572,720,124,877,568/305,116,722
  6. Step 6: Final answer
    x = 1,437,393,261.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.