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Finding the Third Proportional to 45,463.13 and 98,702.25

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Solution

The third proportional to 45,463.13 and 98,702.25 is: 214,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,463.13 : 98,702.25 = 98,702.25 : x
  2. Step 2: Convert to fraction form
    45,463.13/98,702.25 = 98,702.25/x
  3. Step 3: Cross multiply
    45,463.13x = 98,702.25 × 98,702.25
  4. Step 4: Simplify right side
    45,463.13x = 9,742,134,155.06
  5. Step 5: Solve for x
    x = 9,742,134,155.06/45,463.13
  6. Step 6: Final answer
    x = 214,286.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.