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Finding the Third Proportional to 102,465,370.69 and 219,574,893.38

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Solution

The third proportional to 102,465,370.69 and 219,574,893.38 is: 470,531,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,465,370.69 : 219,574,893.38 = 219,574,893.38 : x
  2. Step 2: Convert to fraction form
    102,465,370.69/219,574,893.38 = 219,574,893.38/x
  3. Step 3: Cross multiply
    102,465,370.69x = 219,574,893.38 × 219,574,893.38
  4. Step 4: Simplify right side
    102,465,370.69x = 48,213,133,800,642,616
  5. Step 5: Solve for x
    x = 48,213,133,800,642,616/102,465,370.69
  6. Step 6: Final answer
    x = 470,531,004.54

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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.