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Finding the Third Proportional to 191,404,280 and 296,948,280

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Solution

The third proportional to 191,404,280 and 296,948,280 is: 460,691,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,404,280 : 296,948,280 = 296,948,280 : x
  2. Step 2: Convert to fraction form
    191,404,280/296,948,280 = 296,948,280/x
  3. Step 3: Cross multiply
    191,404,280x = 296,948,280 × 296,948,280
  4. Step 4: Simplify right side
    191,404,280x = 88,178,280,994,958,400
  5. Step 5: Solve for x
    x = 88,178,280,994,958,400/191,404,280
  6. Step 6: Final answer
    x = 460,691,270.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.