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Finding the Third Proportional to 132,700,495,113 and 292,449,576,858

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Solution

The third proportional to 132,700,495,113 and 292,449,576,858 is: 644,509,690,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,700,495,113 : 292,449,576,858 = 292,449,576,858 : x
  2. Step 2: Convert to fraction form
    132,700,495,113/292,449,576,858 = 292,449,576,858/x
  3. Step 3: Cross multiply
    132,700,495,113x = 292,449,576,858 × 292,449,576,858
  4. Step 4: Simplify right side
    132,700,495,113x = 85,526,755,004,423,245,660,160
  5. Step 5: Solve for x
    x = 85,526,755,004,423,245,660,160/132,700,495,113
  6. Step 6: Final answer
    x = 644,509,690,273.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.