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Finding the Third Proportional to 83,672,698 and 180,790,154

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Solution

The third proportional to 83,672,698 and 180,790,154 is: 390,630,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,672,698 : 180,790,154 = 180,790,154 : x
  2. Step 2: Convert to fraction form
    83,672,698/180,790,154 = 180,790,154/x
  3. Step 3: Cross multiply
    83,672,698x = 180,790,154 × 180,790,154
  4. Step 4: Simplify right side
    83,672,698x = 32,685,079,783,343,716
  5. Step 5: Solve for x
    x = 32,685,079,783,343,716/83,672,698
  6. Step 6: Final answer
    x = 390,630,164.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.