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Finding the Third Proportional to 187,355,916 and 405,987,950.25

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Solution

The third proportional to 187,355,916 and 405,987,950.25 is: 879,749,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,355,916 : 405,987,950.25 = 405,987,950.25 : x
  2. Step 2: Convert to fraction form
    187,355,916/405,987,950.25 = 405,987,950.25/x
  3. Step 3: Cross multiply
    187,355,916x = 405,987,950.25 × 405,987,950.25
  4. Step 4: Simplify right side
    187,355,916x = 164,826,215,748,196,480
  5. Step 5: Solve for x
    x = 164,826,215,748,196,480/187,355,916
  6. Step 6: Final answer
    x = 879,749,192.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.