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Finding the Third Proportional to 203,247,984 and 432,714,048

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Solution

The third proportional to 203,247,984 and 432,714,048 is: 921,246,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,247,984 : 432,714,048 = 432,714,048 : x
  2. Step 2: Convert to fraction form
    203,247,984/432,714,048 = 432,714,048/x
  3. Step 3: Cross multiply
    203,247,984x = 432,714,048 × 432,714,048
  4. Step 4: Simplify right side
    203,247,984x = 187,241,447,336,546,304
  5. Step 5: Solve for x
    x = 187,241,447,336,546,304/203,247,984
  6. Step 6: Final answer
    x = 921,246,270.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.