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Finding the Third Proportional to 203,247,986 and 432,714,052

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Solution

The third proportional to 203,247,986 and 432,714,052 is: 921,246,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,247,986 : 432,714,052 = 432,714,052 : x
  2. Step 2: Convert to fraction form
    203,247,986/432,714,052 = 432,714,052/x
  3. Step 3: Cross multiply
    203,247,986x = 432,714,052 × 432,714,052
  4. Step 4: Simplify right side
    203,247,986x = 187,241,450,798,258,688
  5. Step 5: Solve for x
    x = 187,241,450,798,258,688/203,247,986
  6. Step 6: Final answer
    x = 921,246,278.91

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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.