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Finding the Third Proportional to 131,323,601,114 and 266,301,435,742

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Solution

The third proportional to 131,323,601,114 and 266,301,435,742 is: 540,013,021,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,323,601,114 : 266,301,435,742 = 266,301,435,742 : x
  2. Step 2: Convert to fraction form
    131,323,601,114/266,301,435,742 = 266,301,435,742/x
  3. Step 3: Cross multiply
    131,323,601,114x = 266,301,435,742 × 266,301,435,742
  4. Step 4: Simplify right side
    131,323,601,114x = 70,916,454,678,250,555,179,008
  5. Step 5: Solve for x
    x = 70,916,454,678,250,555,179,008/131,323,601,114
  6. Step 6: Final answer
    x = 540,013,021,853.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.