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Finding the Third Proportional to 82,691,039.25 and 123,230,284.88

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Solution

The third proportional to 82,691,039.25 and 123,230,284.88 is: 183,643,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,691,039.25 : 123,230,284.88 = 123,230,284.88 : x
  2. Step 2: Convert to fraction form
    82,691,039.25/123,230,284.88 = 123,230,284.88/x
  3. Step 3: Cross multiply
    82,691,039.25x = 123,230,284.88 × 123,230,284.88
  4. Step 4: Simplify right side
    82,691,039.25x = 15,185,703,110,373,654
  5. Step 5: Solve for x
    x = 15,185,703,110,373,654/82,691,039.25
  6. Step 6: Final answer
    x = 183,643,877.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.