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Finding the Third Proportional to 242,321,764 and 375,928,170

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Solution

The third proportional to 242,321,764 and 375,928,170 is: 583,199,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,321,764 : 375,928,170 = 375,928,170 : x
  2. Step 2: Convert to fraction form
    242,321,764/375,928,170 = 375,928,170/x
  3. Step 3: Cross multiply
    242,321,764x = 375,928,170 × 375,928,170
  4. Step 4: Simplify right side
    242,321,764x = 141,321,988,999,548,896
  5. Step 5: Solve for x
    x = 141,321,988,999,548,896/242,321,764
  6. Step 6: Final answer
    x = 583,199,736.86

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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.