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Finding the Third Proportional to 163,680,662 and 354,605,026

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Solution

The third proportional to 163,680,662 and 354,605,026 is: 768,232,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,680,662 : 354,605,026 = 354,605,026 : x
  2. Step 2: Convert to fraction form
    163,680,662/354,605,026 = 354,605,026/x
  3. Step 3: Cross multiply
    163,680,662x = 354,605,026 × 354,605,026
  4. Step 4: Simplify right side
    163,680,662x = 125,744,724,464,460,672
  5. Step 5: Solve for x
    x = 125,744,724,464,460,672/163,680,662
  6. Step 6: Final answer
    x = 768,232,013.04

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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.