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Finding the Third Proportional to 92,154,297 and 197,984,541

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Solution

The third proportional to 92,154,297 and 197,984,541 is: 425,350,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,154,297 : 197,984,541 = 197,984,541 : x
  2. Step 2: Convert to fraction form
    92,154,297/197,984,541 = 197,984,541/x
  3. Step 3: Cross multiply
    92,154,297x = 197,984,541 × 197,984,541
  4. Step 4: Simplify right side
    92,154,297x = 39,197,878,474,980,680
  5. Step 5: Solve for x
    x = 39,197,878,474,980,680/92,154,297
  6. Step 6: Final answer
    x = 425,350,523.54

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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.