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Finding the Third Proportional to 190,945,920 and 293,668,128

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Solution

The third proportional to 190,945,920 and 293,668,128 is: 451,651,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,945,920 : 293,668,128 = 293,668,128 : x
  2. Step 2: Convert to fraction form
    190,945,920/293,668,128 = 293,668,128/x
  3. Step 3: Cross multiply
    190,945,920x = 293,668,128 × 293,668,128
  4. Step 4: Simplify right side
    190,945,920x = 86,240,969,403,024,384
  5. Step 5: Solve for x
    x = 86,240,969,403,024,384/190,945,920
  6. Step 6: Final answer
    x = 451,651,281.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.