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Finding the Third Proportional to 236,642,824 and 516,836,176

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Solution

The third proportional to 236,642,824 and 516,836,176 is: 1,128,788,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,642,824 : 516,836,176 = 516,836,176 : x
  2. Step 2: Convert to fraction form
    236,642,824/516,836,176 = 516,836,176/x
  3. Step 3: Cross multiply
    236,642,824x = 516,836,176 × 516,836,176
  4. Step 4: Simplify right side
    236,642,824x = 267,119,632,822,302,976
  5. Step 5: Solve for x
    x = 267,119,632,822,302,976/236,642,824
  6. Step 6: Final answer
    x = 1,128,788,223.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.