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Finding the Third Proportional to 223,773,220 and 527,497,018

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Solution

The third proportional to 223,773,220 and 527,497,018 is: 1,243,460,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,773,220 : 527,497,018 = 527,497,018 : x
  2. Step 2: Convert to fraction form
    223,773,220/527,497,018 = 527,497,018/x
  3. Step 3: Cross multiply
    223,773,220x = 527,497,018 × 527,497,018
  4. Step 4: Simplify right side
    223,773,220x = 278,253,103,998,892,320
  5. Step 5: Solve for x
    x = 278,253,103,998,892,320/223,773,220
  6. Step 6: Final answer
    x = 1,243,460,249.62

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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.