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Finding the Third Proportional to 199,291,830.75 and 434,847,951

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Solution

The third proportional to 199,291,830.75 and 434,847,951 is: 948,823,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,291,830.75 : 434,847,951 = 434,847,951 : x
  2. Step 2: Convert to fraction form
    199,291,830.75/434,847,951 = 434,847,951/x
  3. Step 3: Cross multiply
    199,291,830.75x = 434,847,951 × 434,847,951
  4. Step 4: Simplify right side
    199,291,830.75x = 189,092,740,488,898,400
  5. Step 5: Solve for x
    x = 189,092,740,488,898,400/199,291,830.75
  6. Step 6: Final answer
    x = 948,823,340.01

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Why These Related Problems?

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