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Finding the Third Proportional to 118,078,500 and 256,228,032

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Solution

The third proportional to 118,078,500 and 256,228,032 is: 556,009,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,078,500 : 256,228,032 = 256,228,032 : x
  2. Step 2: Convert to fraction form
    118,078,500/256,228,032 = 256,228,032/x
  3. Step 3: Cross multiply
    118,078,500x = 256,228,032 × 256,228,032
  4. Step 4: Simplify right side
    118,078,500x = 65,652,804,382,593,024
  5. Step 5: Solve for x
    x = 65,652,804,382,593,024/118,078,500
  6. Step 6: Final answer
    x = 556,009,810.28

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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.