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Finding the Third Proportional to 84,176,194 and 196,673,680

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Solution

The third proportional to 84,176,194 and 196,673,680 is: 459,518,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,176,194 : 196,673,680 = 196,673,680 : x
  2. Step 2: Convert to fraction form
    84,176,194/196,673,680 = 196,673,680/x
  3. Step 3: Cross multiply
    84,176,194x = 196,673,680 × 196,673,680
  4. Step 4: Simplify right side
    84,176,194x = 38,680,536,404,742,400
  5. Step 5: Solve for x
    x = 38,680,536,404,742,400/84,176,194
  6. Step 6: Final answer
    x = 459,518,713.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.