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Finding the Third Proportional to 99,533 and 214,618

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Solution

The third proportional to 99,533 and 214,618 is: 462,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,533 : 214,618 = 214,618 : x
  2. Step 2: Convert to fraction form
    99,533/214,618 = 214,618/x
  3. Step 3: Cross multiply
    99,533x = 214,618 × 214,618
  4. Step 4: Simplify right side
    99,533x = 46,060,885,924
  5. Step 5: Solve for x
    x = 46,060,885,924/99,533
  6. Step 6: Final answer
    x = 462,770.00

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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.