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Finding the Third Proportional to 193,892,454 and 424,269,900

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Solution

The third proportional to 193,892,454 and 424,269,900 is: 928,375,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,892,454 : 424,269,900 = 424,269,900 : x
  2. Step 2: Convert to fraction form
    193,892,454/424,269,900 = 424,269,900/x
  3. Step 3: Cross multiply
    193,892,454x = 424,269,900 × 424,269,900
  4. Step 4: Simplify right side
    193,892,454x = 180,004,948,046,009,984
  5. Step 5: Solve for x
    x = 180,004,948,046,009,984/193,892,454
  6. Step 6: Final answer
    x = 928,375,211.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.