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Finding the Third Proportional to 255,901,228 and 552,579,032

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Solution

The third proportional to 255,901,228 and 552,579,032 is: 1,193,208,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,901,228 : 552,579,032 = 552,579,032 : x
  2. Step 2: Convert to fraction form
    255,901,228/552,579,032 = 552,579,032/x
  3. Step 3: Cross multiply
    255,901,228x = 552,579,032 × 552,579,032
  4. Step 4: Simplify right side
    255,901,228x = 305,343,586,606,057,024
  5. Step 5: Solve for x
    x = 305,343,586,606,057,024/255,901,228
  6. Step 6: Final answer
    x = 1,193,208,758.68

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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.