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Finding the Third Proportional to 83,672,700 and 180,790,158

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Solution

The third proportional to 83,672,700 and 180,790,158 is: 390,630,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,672,700 : 180,790,158 = 180,790,158 : x
  2. Step 2: Convert to fraction form
    83,672,700/180,790,158 = 180,790,158/x
  3. Step 3: Cross multiply
    83,672,700x = 180,790,158 × 180,790,158
  4. Step 4: Simplify right side
    83,672,700x = 32,685,081,229,664,964
  5. Step 5: Solve for x
    x = 32,685,081,229,664,964/83,672,700
  6. Step 6: Final answer
    x = 390,630,172.44

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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.