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Finding the Third Proportional to 84,905,840.25 and 181,920,424.50

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Solution

The third proportional to 84,905,840.25 and 181,920,424.50 is: 389,785,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,905,840.25 : 181,920,424.50 = 181,920,424.50 : x
  2. Step 2: Convert to fraction form
    84,905,840.25/181,920,424.50 = 181,920,424.50/x
  3. Step 3: Cross multiply
    84,905,840.25x = 181,920,424.50 × 181,920,424.50
  4. Step 4: Simplify right side
    84,905,840.25x = 33,095,040,850,260,200
  5. Step 5: Solve for x
    x = 33,095,040,850,260,200/84,905,840.25
  6. Step 6: Final answer
    x = 389,785,210.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.