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Finding the Third Proportional to 211,712,294 and 455,863,144

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Solution

The third proportional to 211,712,294 and 455,863,144 is: 981,573,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,712,294 : 455,863,144 = 455,863,144 : x
  2. Step 2: Convert to fraction form
    211,712,294/455,863,144 = 455,863,144/x
  3. Step 3: Cross multiply
    211,712,294x = 455,863,144 × 455,863,144
  4. Step 4: Simplify right side
    211,712,294x = 207,811,206,057,564,736
  5. Step 5: Solve for x
    x = 207,811,206,057,564,736/211,712,294
  6. Step 6: Final answer
    x = 981,573,635.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.