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Finding the Third Proportional to 199,291,851 and 434,847,987

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Solution

The third proportional to 199,291,851 and 434,847,987 is: 948,823,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,291,851 : 434,847,987 = 434,847,987 : x
  2. Step 2: Convert to fraction form
    199,291,851/434,847,987 = 434,847,987/x
  3. Step 3: Cross multiply
    199,291,851x = 434,847,987 × 434,847,987
  4. Step 4: Simplify right side
    199,291,851x = 189,092,771,797,952,160
  5. Step 5: Solve for x
    x = 189,092,771,797,952,160/199,291,851
  6. Step 6: Final answer
    x = 948,823,400.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.