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Finding the Third Proportional to 163,680,347 and 354,604,380

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Solution

The third proportional to 163,680,347 and 354,604,380 is: 768,230,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,680,347 : 354,604,380 = 354,604,380 : x
  2. Step 2: Convert to fraction form
    163,680,347/354,604,380 = 354,604,380/x
  3. Step 3: Cross multiply
    163,680,347x = 354,604,380 × 354,604,380
  4. Step 4: Simplify right side
    163,680,347x = 125,744,266,315,184,400
  5. Step 5: Solve for x
    x = 125,744,266,315,184,400/163,680,347
  6. Step 6: Final answer
    x = 768,230,692.44

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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.