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Finding the Third Proportional to 195,083,822.25 and 320,259,451.50

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Solution

The third proportional to 195,083,822.25 and 320,259,451.50 is: 525,754,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,083,822.25 : 320,259,451.50 = 320,259,451.50 : x
  2. Step 2: Convert to fraction form
    195,083,822.25/320,259,451.50 = 320,259,451.50/x
  3. Step 3: Cross multiply
    195,083,822.25x = 320,259,451.50 × 320,259,451.50
  4. Step 4: Simplify right side
    195,083,822.25x = 102,566,116,275,080,848
  5. Step 5: Solve for x
    x = 102,566,116,275,080,848/195,083,822.25
  6. Step 6: Final answer
    x = 525,754,084.02

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.