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Finding the Third Proportional to 255,904,146 and 552,584,871

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Solution

The third proportional to 255,904,146 and 552,584,871 is: 1,193,220,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904,146 : 552,584,871 = 552,584,871 : x
  2. Step 2: Convert to fraction form
    255,904,146/552,584,871 = 552,584,871/x
  3. Step 3: Cross multiply
    255,904,146x = 552,584,871 × 552,584,871
  4. Step 4: Simplify right side
    255,904,146x = 305,350,039,658,086,656
  5. Step 5: Solve for x
    x = 305,350,039,658,086,656/255,904,146
  6. Step 6: Final answer
    x = 1,193,220,369.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.