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Finding the Third Proportional to 81,814,264 and 174,975,656

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Solution

The third proportional to 81,814,264 and 174,975,656 is: 374,219,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,814,264 : 174,975,656 = 174,975,656 : x
  2. Step 2: Convert to fraction form
    81,814,264/174,975,656 = 174,975,656/x
  3. Step 3: Cross multiply
    81,814,264x = 174,975,656 × 174,975,656
  4. Step 4: Simplify right side
    81,814,264x = 30,616,480,192,630,336
  5. Step 5: Solve for x
    x = 30,616,480,192,630,336/81,814,264
  6. Step 6: Final answer
    x = 374,219,343.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.