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Finding the Third Proportional to 199,604,772 and 436,837,564

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Solution

The third proportional to 199,604,772 and 436,837,564 is: 956,024,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,604,772 : 436,837,564 = 436,837,564 : x
  2. Step 2: Convert to fraction form
    199,604,772/436,837,564 = 436,837,564/x
  3. Step 3: Cross multiply
    199,604,772x = 436,837,564 × 436,837,564
  4. Step 4: Simplify right side
    199,604,772x = 190,827,057,321,454,080
  5. Step 5: Solve for x
    x = 190,827,057,321,454,080/199,604,772
  6. Step 6: Final answer
    x = 956,024,524.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.