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Finding the Third Proportional to 145,143,383,528 and 201,810,273,204

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Solution

The third proportional to 145,143,383,528 and 201,810,273,204 is: 280,601,053,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,143,383,528 : 201,810,273,204 = 201,810,273,204 : x
  2. Step 2: Convert to fraction form
    145,143,383,528/201,810,273,204 = 201,810,273,204/x
  3. Step 3: Cross multiply
    145,143,383,528x = 201,810,273,204 × 201,810,273,204
  4. Step 4: Simplify right side
    145,143,383,528x = 40,727,386,370,673,121,165,312
  5. Step 5: Solve for x
    x = 40,727,386,370,673,121,165,312/145,143,383,528
  6. Step 6: Final answer
    x = 280,601,053,804.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.