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Finding the Third Proportional to 182,818,802.25 and 395,456,529.38

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Solution

The third proportional to 182,818,802.25 and 395,456,529.38 is: 855,414,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,818,802.25 : 395,456,529.38 = 395,456,529.38 : x
  2. Step 2: Convert to fraction form
    182,818,802.25/395,456,529.38 = 395,456,529.38/x
  3. Step 3: Cross multiply
    182,818,802.25x = 395,456,529.38 × 395,456,529.38
  4. Step 4: Simplify right side
    182,818,802.25x = 156,385,866,625,320,224
  5. Step 5: Solve for x
    x = 156,385,866,625,320,224/182,818,802.25
  6. Step 6: Final answer
    x = 855,414,567.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.