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Finding the Third Proportional to 113,717,370 and 162,504,754.50

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Solution

The third proportional to 113,717,370 and 162,504,754.50 is: 232,223,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,717,370 : 162,504,754.50 = 162,504,754.50 : x
  2. Step 2: Convert to fraction form
    113,717,370/162,504,754.50 = 162,504,754.50/x
  3. Step 3: Cross multiply
    113,717,370x = 162,504,754.50 × 162,504,754.50
  4. Step 4: Simplify right side
    113,717,370x = 26,407,795,235,105,272
  5. Step 5: Solve for x
    x = 26,407,795,235,105,272/113,717,370
  6. Step 6: Final answer
    x = 232,223,056.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.