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Finding the Third Proportional to 80,538,700 and 174,514,328

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Solution

The third proportional to 80,538,700 and 174,514,328 is: 378,144,304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,538,700 : 174,514,328 = 174,514,328 : x
  2. Step 2: Convert to fraction form
    80,538,700/174,514,328 = 174,514,328/x
  3. Step 3: Cross multiply
    80,538,700x = 174,514,328 × 174,514,328
  4. Step 4: Simplify right side
    80,538,700x = 30,455,250,677,291,584
  5. Step 5: Solve for x
    x = 30,455,250,677,291,584/80,538,700
  6. Step 6: Final answer
    x = 378,144,304.26

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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.