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Finding the Third Proportional to 113,722,560 and 162,077,472

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Solution

The third proportional to 113,722,560 and 162,077,472 is: 230,992,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,722,560 : 162,077,472 = 162,077,472 : x
  2. Step 2: Convert to fraction form
    113,722,560/162,077,472 = 162,077,472/x
  3. Step 3: Cross multiply
    113,722,560x = 162,077,472 × 162,077,472
  4. Step 4: Simplify right side
    113,722,560x = 26,269,106,929,910,784
  5. Step 5: Solve for x
    x = 26,269,106,929,910,784/113,722,560
  6. Step 6: Final answer
    x = 230,992,926.38

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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.