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Finding the Third Proportional to 96,122.53 and 210,340.13

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Solution

The third proportional to 96,122.53 and 210,340.13 is: 460,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,122.53 : 210,340.13 = 210,340.13 : x
  2. Step 2: Convert to fraction form
    96,122.53/210,340.13 = 210,340.13/x
  3. Step 3: Cross multiply
    96,122.53x = 210,340.13 × 210,340.13
  4. Step 4: Simplify right side
    96,122.53x = 44,242,968,185.02
  5. Step 5: Solve for x
    x = 44,242,968,185.02/96,122.53
  6. Step 6: Final answer
    x = 460,276.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.