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Finding the Third Proportional to 223,699,569 and 486,120,633

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Solution

The third proportional to 223,699,569 and 486,120,633 is: 1,056,386,790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,699,569 : 486,120,633 = 486,120,633 : x
  2. Step 2: Convert to fraction form
    223,699,569/486,120,633 = 486,120,633/x
  3. Step 3: Cross multiply
    223,699,569x = 486,120,633 × 486,120,633
  4. Step 4: Simplify right side
    223,699,569x = 236,313,269,828,320,704
  5. Step 5: Solve for x
    x = 236,313,269,828,320,704/223,699,569
  6. Step 6: Final answer
    x = 1,056,386,790.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.