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Finding the Third Proportional to 72,836,083 and 156,002,294

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Solution

The third proportional to 72,836,083 and 156,002,294 is: 334,129,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,836,083 : 156,002,294 = 156,002,294 : x
  2. Step 2: Convert to fraction form
    72,836,083/156,002,294 = 156,002,294/x
  3. Step 3: Cross multiply
    72,836,083x = 156,002,294 × 156,002,294
  4. Step 4: Simplify right side
    72,836,083x = 24,336,715,733,262,436
  5. Step 5: Solve for x
    x = 24,336,715,733,262,436/72,836,083
  6. Step 6: Final answer
    x = 334,129,935.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.