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Finding the Third Proportional to 119,013,952 and 180,317,306

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Solution

The third proportional to 119,013,952 and 180,317,306 is: 273,197,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,013,952 : 180,317,306 = 180,317,306 : x
  2. Step 2: Convert to fraction form
    119,013,952/180,317,306 = 180,317,306/x
  3. Step 3: Cross multiply
    119,013,952x = 180,317,306 × 180,317,306
  4. Step 4: Simplify right side
    119,013,952x = 32,514,330,843,097,636
  5. Step 5: Solve for x
    x = 32,514,330,843,097,636/119,013,952
  6. Step 6: Final answer
    x = 273,197,640.25

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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.