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Finding the Third Proportional to 52,426,550 and 114,930,790

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Solution

The third proportional to 52,426,550 and 114,930,790 is: 251,954,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,426,550 : 114,930,790 = 114,930,790 : x
  2. Step 2: Convert to fraction form
    52,426,550/114,930,790 = 114,930,790/x
  3. Step 3: Cross multiply
    52,426,550x = 114,930,790 × 114,930,790
  4. Step 4: Simplify right side
    52,426,550x = 13,209,086,490,024,100
  5. Step 5: Solve for x
    x = 13,209,086,490,024,100/52,426,550
  6. Step 6: Final answer
    x = 251,954,143.27

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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.