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Finding the Third Proportional to 184,141,269 and 398,931,561

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Solution

The third proportional to 184,141,269 and 398,931,561 is: 864,262,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,141,269 : 398,931,561 = 398,931,561 : x
  2. Step 2: Convert to fraction form
    184,141,269/398,931,561 = 398,931,561/x
  3. Step 3: Cross multiply
    184,141,269x = 398,931,561 × 398,931,561
  4. Step 4: Simplify right side
    184,141,269x = 159,146,390,361,896,736
  5. Step 5: Solve for x
    x = 159,146,390,361,896,736/184,141,269
  6. Step 6: Final answer
    x = 864,262,482.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.