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Finding the Third Proportional to 119,013,960 and 180,317,317.50

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Solution

The third proportional to 119,013,960 and 180,317,317.50 is: 273,197,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,013,960 : 180,317,317.50 = 180,317,317.50 : x
  2. Step 2: Convert to fraction form
    119,013,960/180,317,317.50 = 180,317,317.50/x
  3. Step 3: Cross multiply
    119,013,960x = 180,317,317.50 × 180,317,317.50
  4. Step 4: Simplify right side
    119,013,960x = 32,514,334,990,395,808
  5. Step 5: Solve for x
    x = 32,514,334,990,395,808/119,013,960
  6. Step 6: Final answer
    x = 273,197,656.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.