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Finding the Third Proportional to 193,321,972 and 292,790,766

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Solution

The third proportional to 193,321,972 and 292,790,766 is: 443,438,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,321,972 : 292,790,766 = 292,790,766 : x
  2. Step 2: Convert to fraction form
    193,321,972/292,790,766 = 292,790,766/x
  3. Step 3: Cross multiply
    193,321,972x = 292,790,766 × 292,790,766
  4. Step 4: Simplify right side
    193,321,972x = 85,726,432,654,866,752
  5. Step 5: Solve for x
    x = 85,726,432,654,866,752/193,321,972
  6. Step 6: Final answer
    x = 443,438,641.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.