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Finding the Third Proportional to 185,749,984.69 and 404,186,370.19

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Solution

The third proportional to 185,749,984.69 and 404,186,370.19 is: 879,497,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,749,984.69 : 404,186,370.19 = 404,186,370.19 : x
  2. Step 2: Convert to fraction form
    185,749,984.69/404,186,370.19 = 404,186,370.19/x
  3. Step 3: Cross multiply
    185,749,984.69x = 404,186,370.19 × 404,186,370.19
  4. Step 4: Simplify right side
    185,749,984.69x = 163,366,621,845,346,784
  5. Step 5: Solve for x
    x = 163,366,621,845,346,784/185,749,984.69
  6. Step 6: Final answer
    x = 879,497,363.73

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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.