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Finding the Third Proportional to 75,367,720 and 163,256,136

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Solution

The third proportional to 75,367,720 and 163,256,136 is: 353,633,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,367,720 : 163,256,136 = 163,256,136 : x
  2. Step 2: Convert to fraction form
    75,367,720/163,256,136 = 163,256,136/x
  3. Step 3: Cross multiply
    75,367,720x = 163,256,136 × 163,256,136
  4. Step 4: Simplify right side
    75,367,720x = 26,652,565,941,650,496
  5. Step 5: Solve for x
    x = 26,652,565,941,650,496/75,367,720
  6. Step 6: Final answer
    x = 353,633,703.42

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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.