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Finding the Third Proportional to 106,806,916 and 219,275,944

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Solution

The third proportional to 106,806,916 and 219,275,944 is: 450,176,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806,916 : 219,275,944 = 219,275,944 : x
  2. Step 2: Convert to fraction form
    106,806,916/219,275,944 = 219,275,944/x
  3. Step 3: Cross multiply
    106,806,916x = 219,275,944 × 219,275,944
  4. Step 4: Simplify right side
    106,806,916x = 48,081,939,617,091,136
  5. Step 5: Solve for x
    x = 48,081,939,617,091,136/106,806,916
  6. Step 6: Final answer
    x = 450,176,275.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.