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Finding the Third Proportional to 212,443,633.50 and 457,172,355

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Solution

The third proportional to 212,443,633.50 and 457,172,355 is: 983,821,255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,443,633.50 : 457,172,355 = 457,172,355 : x
  2. Step 2: Convert to fraction form
    212,443,633.50/457,172,355 = 457,172,355/x
  3. Step 3: Cross multiply
    212,443,633.50x = 457,172,355 × 457,172,355
  4. Step 4: Simplify right side
    212,443,633.50x = 209,006,562,176,246,016
  5. Step 5: Solve for x
    x = 209,006,562,176,246,016/212,443,633.50
  6. Step 6: Final answer
    x = 983,821,255.23

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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.