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Finding the Third Proportional to 75,367,597 and 163,255,892

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Solution

The third proportional to 75,367,597 and 163,255,892 is: 353,633,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,367,597 : 163,255,892 = 163,255,892 : x
  2. Step 2: Convert to fraction form
    75,367,597/163,255,892 = 163,255,892/x
  3. Step 3: Cross multiply
    75,367,597x = 163,255,892 × 163,255,892
  4. Step 4: Simplify right side
    75,367,597x = 26,652,486,272,715,664
  5. Step 5: Solve for x
    x = 26,652,486,272,715,664/75,367,597
  6. Step 6: Final answer
    x = 353,633,223.48

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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.