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Finding the Third Proportional to 85,510.13 and 197,935.88

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Solution

The third proportional to 85,510.13 and 197,935.88 is: 458,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,510.13 : 197,935.88 = 197,935.88 : x
  2. Step 2: Convert to fraction form
    85,510.13/197,935.88 = 197,935.88/x
  3. Step 3: Cross multiply
    85,510.13x = 197,935.88 × 197,935.88
  4. Step 4: Simplify right side
    85,510.13x = 39,178,610,612.02
  5. Step 5: Solve for x
    x = 39,178,610,612.02/85,510.13
  6. Step 6: Final answer
    x = 458,175.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.