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Finding the Third Proportional to 95,005,920 and 157,223,016

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Solution

The third proportional to 95,005,920 and 157,223,016 is: 260,184,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,005,920 : 157,223,016 = 157,223,016 : x
  2. Step 2: Convert to fraction form
    95,005,920/157,223,016 = 157,223,016/x
  3. Step 3: Cross multiply
    95,005,920x = 157,223,016 × 157,223,016
  4. Step 4: Simplify right side
    95,005,920x = 24,719,076,760,136,256
  5. Step 5: Solve for x
    x = 24,719,076,760,136,256/95,005,920
  6. Step 6: Final answer
    x = 260,184,594.39

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.