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Finding the Third Proportional to 163,680,666 and 354,605,040

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Solution

The third proportional to 163,680,666 and 354,605,040 is: 768,232,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,680,666 : 354,605,040 = 354,605,040 : x
  2. Step 2: Convert to fraction form
    163,680,666/354,605,040 = 354,605,040/x
  3. Step 3: Cross multiply
    163,680,666x = 354,605,040 × 354,605,040
  4. Step 4: Simplify right side
    163,680,666x = 125,744,734,393,401,600
  5. Step 5: Solve for x
    x = 125,744,734,393,401,600/163,680,666
  6. Step 6: Final answer
    x = 768,232,054.93

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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.