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Finding the Third Proportional to 216,343,158 and 510,192,747

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Solution

The third proportional to 216,343,158 and 510,192,747 is: 1,203,165,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,343,158 : 510,192,747 = 510,192,747 : x
  2. Step 2: Convert to fraction form
    216,343,158/510,192,747 = 510,192,747/x
  3. Step 3: Cross multiply
    216,343,158x = 510,192,747 × 510,192,747
  4. Step 4: Simplify right side
    216,343,158x = 260,296,639,091,406,016
  5. Step 5: Solve for x
    x = 260,296,639,091,406,016/216,343,158
  6. Step 6: Final answer
    x = 1,203,165,570.37

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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.