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Finding the Third Proportional to 211,725,863.13 and 458,626,477.38

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Solution

The third proportional to 211,725,863.13 and 458,626,477.38 is: 993,446,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,725,863.13 : 458,626,477.38 = 458,626,477.38 : x
  2. Step 2: Convert to fraction form
    211,725,863.13/458,626,477.38 = 458,626,477.38/x
  3. Step 3: Cross multiply
    211,725,863.13x = 458,626,477.38 × 458,626,477.38
  4. Step 4: Simplify right side
    211,725,863.13x = 210,338,245,749,401,376
  5. Step 5: Solve for x
    x = 210,338,245,749,401,376/211,725,863.13
  6. Step 6: Final answer
    x = 993,446,160.26

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