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Finding the Third Proportional to 85,388,949 and 183,746,321

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Solution

The third proportional to 85,388,949 and 183,746,321 is: 395,399,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,388,949 : 183,746,321 = 183,746,321 : x
  2. Step 2: Convert to fraction form
    85,388,949/183,746,321 = 183,746,321/x
  3. Step 3: Cross multiply
    85,388,949x = 183,746,321 × 183,746,321
  4. Step 4: Simplify right side
    85,388,949x = 33,762,710,481,035,040
  5. Step 5: Solve for x
    x = 33,762,710,481,035,040/85,388,949
  6. Step 6: Final answer
    x = 395,399,063.65

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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.