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Finding the Third Proportional to 211,350,402 and 339,744,654

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Solution

The third proportional to 211,350,402 and 339,744,654 is: 546,137,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,350,402 : 339,744,654 = 339,744,654 : x
  2. Step 2: Convert to fraction form
    211,350,402/339,744,654 = 339,744,654/x
  3. Step 3: Cross multiply
    211,350,402x = 339,744,654 × 339,744,654
  4. Step 4: Simplify right side
    211,350,402x = 115,426,429,921,579,712
  5. Step 5: Solve for x
    x = 115,426,429,921,579,712/211,350,402
  6. Step 6: Final answer
    x = 546,137,735.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.