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Finding the Third Proportional to 97,823,239 and 210,968,109

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Solution

The third proportional to 97,823,239 and 210,968,109 is: 454,979,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,823,239 : 210,968,109 = 210,968,109 : x
  2. Step 2: Convert to fraction form
    97,823,239/210,968,109 = 210,968,109/x
  3. Step 3: Cross multiply
    97,823,239x = 210,968,109 × 210,968,109
  4. Step 4: Simplify right side
    97,823,239x = 44,507,543,015,035,880
  5. Step 5: Solve for x
    x = 44,507,543,015,035,880/97,823,239
  6. Step 6: Final answer
    x = 454,979,240.82

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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.