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Finding the Third Proportional to 83,216,261.25 and 179,759,189.25

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Solution

The third proportional to 83,216,261.25 and 179,759,189.25 is: 388,305,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,216,261.25 : 179,759,189.25 = 179,759,189.25 : x
  2. Step 2: Convert to fraction form
    83,216,261.25/179,759,189.25 = 179,759,189.25/x
  3. Step 3: Cross multiply
    83,216,261.25x = 179,759,189.25 × 179,759,189.25
  4. Step 4: Simplify right side
    83,216,261.25x = 32,313,366,119,817,316
  5. Step 5: Solve for x
    x = 32,313,366,119,817,316/83,216,261.25
  6. Step 6: Final answer
    x = 388,305,910.82

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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.