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Finding the Third Proportional to 194,350,101 and 298,020,969

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Solution

The third proportional to 194,350,101 and 298,020,969 is: 456,992,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,350,101 : 298,020,969 = 298,020,969 : x
  2. Step 2: Convert to fraction form
    194,350,101/298,020,969 = 298,020,969/x
  3. Step 3: Cross multiply
    194,350,101x = 298,020,969 × 298,020,969
  4. Step 4: Simplify right side
    194,350,101x = 88,816,497,963,698,960
  5. Step 5: Solve for x
    x = 88,816,497,963,698,960/194,350,101
  6. Step 6: Final answer
    x = 456,992,291.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.