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Finding the Third Proportional to 199,291,835.25 and 434,847,960

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Solution

The third proportional to 199,291,835.25 and 434,847,960 is: 948,823,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,291,835.25 : 434,847,960 = 434,847,960 : x
  2. Step 2: Convert to fraction form
    199,291,835.25/434,847,960 = 434,847,960/x
  3. Step 3: Cross multiply
    199,291,835.25x = 434,847,960 × 434,847,960
  4. Step 4: Simplify right side
    199,291,835.25x = 189,092,748,316,161,600
  5. Step 5: Solve for x
    x = 189,092,748,316,161,600/199,291,835.25
  6. Step 6: Final answer
    x = 948,823,357.86

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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.