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Finding the Third Proportional to 119,482,783 and 180,322,117

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Solution

The third proportional to 119,482,783 and 180,322,117 is: 272,140,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,482,783 : 180,322,117 = 180,322,117 : x
  2. Step 2: Convert to fraction form
    119,482,783/180,322,117 = 180,322,117/x
  3. Step 3: Cross multiply
    119,482,783x = 180,322,117 × 180,322,117
  4. Step 4: Simplify right side
    119,482,783x = 32,516,065,879,361,688
  5. Step 5: Solve for x
    x = 32,516,065,879,361,688/119,482,783
  6. Step 6: Final answer
    x = 272,140,178.38

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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.