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Finding the Third Proportional to 116,297,370 and 182,461,896

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Solution

The third proportional to 116,297,370 and 182,461,896 is: 286,269,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,297,370 : 182,461,896 = 182,461,896 : x
  2. Step 2: Convert to fraction form
    116,297,370/182,461,896 = 182,461,896/x
  3. Step 3: Cross multiply
    116,297,370x = 182,461,896 × 182,461,896
  4. Step 4: Simplify right side
    116,297,370x = 33,292,343,491,914,816
  5. Step 5: Solve for x
    x = 33,292,343,491,914,816/116,297,370
  6. Step 6: Final answer
    x = 286,269,100.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.