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Finding the Third Proportional to 98,340.75 and 210,702.94

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Solution

The third proportional to 98,340.75 and 210,702.94 is: 451,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,340.75 : 210,702.94 = 210,702.94 : x
  2. Step 2: Convert to fraction form
    98,340.75/210,702.94 = 210,702.94/x
  3. Step 3: Cross multiply
    98,340.75x = 210,702.94 × 210,702.94
  4. Step 4: Simplify right side
    98,340.75x = 44,395,727,871.13
  5. Step 5: Solve for x
    x = 44,395,727,871.13/98,340.75
  6. Step 6: Final answer
    x = 451,447.93

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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.