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Finding the Third Proportional to 94,062.94 and 202,820.63

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Solution

The third proportional to 94,062.94 and 202,820.63 is: 437,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,062.94 : 202,820.63 = 202,820.63 : x
  2. Step 2: Convert to fraction form
    94,062.94/202,820.63 = 202,820.63/x
  3. Step 3: Cross multiply
    94,062.94x = 202,820.63 × 202,820.63
  4. Step 4: Simplify right side
    94,062.94x = 41,136,205,925.39
  5. Step 5: Solve for x
    x = 41,136,205,925.39/94,062.94
  6. Step 6: Final answer
    x = 437,326.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.