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Finding the Third Proportional to 113,194,106 and 242,539,252

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Solution

The third proportional to 113,194,106 and 242,539,252 is: 519,685,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,194,106 : 242,539,252 = 242,539,252 : x
  2. Step 2: Convert to fraction form
    113,194,106/242,539,252 = 242,539,252/x
  3. Step 3: Cross multiply
    113,194,106x = 242,539,252 × 242,539,252
  4. Step 4: Simplify right side
    113,194,106x = 58,825,288,760,719,504
  5. Step 5: Solve for x
    x = 58,825,288,760,719,504/113,194,106
  6. Step 6: Final answer
    x = 519,685,086.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.