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Finding the Third Proportional to 243,198,427 and 376,430,294

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Solution

The third proportional to 243,198,427 and 376,430,294 is: 582,650,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,198,427 : 376,430,294 = 376,430,294 : x
  2. Step 2: Convert to fraction form
    243,198,427/376,430,294 = 376,430,294/x
  3. Step 3: Cross multiply
    243,198,427x = 376,430,294 × 376,430,294
  4. Step 4: Simplify right side
    243,198,427x = 141,699,766,240,926,432
  5. Step 5: Solve for x
    x = 141,699,766,240,926,432/243,198,427
  6. Step 6: Final answer
    x = 582,650,833.68

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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.