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Finding the Third Proportional to 83,495,737.83 and 127,403,193.30

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Solution

The third proportional to 83,495,737.83 and 127,403,193.30 is: 194,400,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,495,737.83 : 127,403,193.30 = 127,403,193.30 : x
  2. Step 2: Convert to fraction form
    83,495,737.83/127,403,193.30 = 127,403,193.30/x
  3. Step 3: Cross multiply
    83,495,737.83x = 127,403,193.30 × 127,403,193.30
  4. Step 4: Simplify right side
    83,495,737.83x = 16,231,573,664,232,208
  5. Step 5: Solve for x
    x = 16,231,573,664,232,208/83,495,737.83
  6. Step 6: Final answer
    x = 194,400,026.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.