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Finding the Third Proportional to 153,132,208 and 235,375,172

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Solution

The third proportional to 153,132,208 and 235,375,172 is: 361,788,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,132,208 : 235,375,172 = 235,375,172 : x
  2. Step 2: Convert to fraction form
    153,132,208/235,375,172 = 235,375,172/x
  3. Step 3: Cross multiply
    153,132,208x = 235,375,172 × 235,375,172
  4. Step 4: Simplify right side
    153,132,208x = 55,401,471,594,029,584
  5. Step 5: Solve for x
    x = 55,401,471,594,029,584/153,132,208
  6. Step 6: Final answer
    x = 361,788,498.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.