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Finding the Third Proportional to 131,323,601,214 and 266,301,435,942

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Solution

The third proportional to 131,323,601,214 and 266,301,435,942 is: 540,013,022,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,323,601,214 : 266,301,435,942 = 266,301,435,942 : x
  2. Step 2: Convert to fraction form
    131,323,601,214/266,301,435,942 = 266,301,435,942/x
  3. Step 3: Cross multiply
    131,323,601,214x = 266,301,435,942 × 266,301,435,942
  4. Step 4: Simplify right side
    131,323,601,214x = 70,916,454,784,771,129,606,144
  5. Step 5: Solve for x
    x = 70,916,454,784,771,129,606,144/131,323,601,214
  6. Step 6: Final answer
    x = 540,013,022,253.39

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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.