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Finding the Third Proportional to 148,311,036 and 217,157,262

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Solution

The third proportional to 148,311,036 and 217,157,262 is: 317,962,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,311,036 : 217,157,262 = 217,157,262 : x
  2. Step 2: Convert to fraction form
    148,311,036/217,157,262 = 217,157,262/x
  3. Step 3: Cross multiply
    148,311,036x = 217,157,262 × 217,157,262
  4. Step 4: Simplify right side
    148,311,036x = 47,157,276,439,336,640
  5. Step 5: Solve for x
    x = 47,157,276,439,336,640/148,311,036
  6. Step 6: Final answer
    x = 317,962,018.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.