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Finding the Third Proportional to 92,154,269 and 197,984,457

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Solution

The third proportional to 92,154,269 and 197,984,457 is: 425,350,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,154,269 : 197,984,457 = 197,984,457 : x
  2. Step 2: Convert to fraction form
    92,154,269/197,984,457 = 197,984,457/x
  3. Step 3: Cross multiply
    92,154,269x = 197,984,457 × 197,984,457
  4. Step 4: Simplify right side
    92,154,269x = 39,197,845,213,584,848
  5. Step 5: Solve for x
    x = 39,197,845,213,584,848/92,154,269
  6. Step 6: Final answer
    x = 425,350,291.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.