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Finding the Third Proportional to 85,388,945 and 183,746,313

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Solution

The third proportional to 85,388,945 and 183,746,313 is: 395,399,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,388,945 : 183,746,313 = 183,746,313 : x
  2. Step 2: Convert to fraction form
    85,388,945/183,746,313 = 183,746,313/x
  3. Step 3: Cross multiply
    85,388,945x = 183,746,313 × 183,746,313
  4. Step 4: Simplify right side
    85,388,945x = 33,762,707,541,093,968
  5. Step 5: Solve for x
    x = 33,762,707,541,093,968/85,388,945
  6. Step 6: Final answer
    x = 395,399,047.75

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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.