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Finding the Third Proportional to 111,232,784 and 162,867,208

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Solution

The third proportional to 111,232,784 and 162,867,208 is: 238,470,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,232,784 : 162,867,208 = 162,867,208 : x
  2. Step 2: Convert to fraction form
    111,232,784/162,867,208 = 162,867,208/x
  3. Step 3: Cross multiply
    111,232,784x = 162,867,208 × 162,867,208
  4. Step 4: Simplify right side
    111,232,784x = 26,525,727,441,715,264
  5. Step 5: Solve for x
    x = 26,525,727,441,715,264/111,232,784
  6. Step 6: Final answer
    x = 238,470,408.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.