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Finding the Third Proportional to 190,023,426 and 416,367,504

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Solution

The third proportional to 190,023,426 and 416,367,504 is: 912,318,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,023,426 : 416,367,504 = 416,367,504 : x
  2. Step 2: Convert to fraction form
    190,023,426/416,367,504 = 416,367,504/x
  3. Step 3: Cross multiply
    190,023,426x = 416,367,504 × 416,367,504
  4. Step 4: Simplify right side
    190,023,426x = 173,361,898,387,190,016
  5. Step 5: Solve for x
    x = 173,361,898,387,190,016/190,023,426
  6. Step 6: Final answer
    x = 912,318,560.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.