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Finding the Third Proportional to 198,220,914 and 434,559,618

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Solution

The third proportional to 198,220,914 and 434,559,618 is: 952,684,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,220,914 : 434,559,618 = 434,559,618 : x
  2. Step 2: Convert to fraction form
    198,220,914/434,559,618 = 434,559,618/x
  3. Step 3: Cross multiply
    198,220,914x = 434,559,618 × 434,559,618
  4. Step 4: Simplify right side
    198,220,914x = 188,842,061,596,305,920
  5. Step 5: Solve for x
    x = 188,842,061,596,305,920/198,220,914
  6. Step 6: Final answer
    x = 952,684,849.37

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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.