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Finding the Third Proportional to 57,228,820 and 123,957,967

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Solution

The third proportional to 57,228,820 and 123,957,967 is: 268,493,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,228,820 : 123,957,967 = 123,957,967 : x
  2. Step 2: Convert to fraction form
    57,228,820/123,957,967 = 123,957,967/x
  3. Step 3: Cross multiply
    57,228,820x = 123,957,967 × 123,957,967
  4. Step 4: Simplify right side
    57,228,820x = 15,365,577,582,773,088
  5. Step 5: Solve for x
    x = 15,365,577,582,773,088/57,228,820
  6. Step 6: Final answer
    x = 268,493,699.20

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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.