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Finding the Third Proportional to 94,955 and 202,618

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Solution

The third proportional to 94,955 and 202,618 is: 432,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,955 : 202,618 = 202,618 : x
  2. Step 2: Convert to fraction form
    94,955/202,618 = 202,618/x
  3. Step 3: Cross multiply
    94,955x = 202,618 × 202,618
  4. Step 4: Simplify right side
    94,955x = 41,054,053,924
  5. Step 5: Solve for x
    x = 41,054,053,924/94,955
  6. Step 6: Final answer
    x = 432,352.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.