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Finding the Third Proportional to 97,213,266 and 229,481,082

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Solution

The third proportional to 97,213,266 and 229,481,082 is: 541,711,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,213,266 : 229,481,082 = 229,481,082 : x
  2. Step 2: Convert to fraction form
    97,213,266/229,481,082 = 229,481,082/x
  3. Step 3: Cross multiply
    97,213,266x = 229,481,082 × 229,481,082
  4. Step 4: Simplify right side
    97,213,266x = 52,661,566,995,890,720
  5. Step 5: Solve for x
    x = 52,661,566,995,890,720/97,213,266
  6. Step 6: Final answer
    x = 541,711,735.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.