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Finding the Third Proportional to 83,341,329 and 179,483,151

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Solution

The third proportional to 83,341,329 and 179,483,151 is: 386,533,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,341,329 : 179,483,151 = 179,483,151 : x
  2. Step 2: Convert to fraction form
    83,341,329/179,483,151 = 179,483,151/x
  3. Step 3: Cross multiply
    83,341,329x = 179,483,151 × 179,483,151
  4. Step 4: Simplify right side
    83,341,329x = 32,214,201,492,888,800
  5. Step 5: Solve for x
    x = 32,214,201,492,888,800/83,341,329
  6. Step 6: Final answer
    x = 386,533,330.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.