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Finding the Third Proportional to 106,078,255 and 158,464,083

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Solution

The third proportional to 106,078,255 and 158,464,083 is: 236,720,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,078,255 : 158,464,083 = 158,464,083 : x
  2. Step 2: Convert to fraction form
    106,078,255/158,464,083 = 158,464,083/x
  3. Step 3: Cross multiply
    106,078,255x = 158,464,083 × 158,464,083
  4. Step 4: Simplify right side
    106,078,255x = 25,110,865,601,030,888
  5. Step 5: Solve for x
    x = 25,110,865,601,030,888/106,078,255
  6. Step 6: Final answer
    x = 236,720,198.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.