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Finding the Third Proportional to 145,143,383,648 and 201,810,273,358

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Solution

The third proportional to 145,143,383,648 and 201,810,273,358 is: 280,601,054,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,143,383,648 : 201,810,273,358 = 201,810,273,358 : x
  2. Step 2: Convert to fraction form
    145,143,383,648/201,810,273,358 = 201,810,273,358/x
  3. Step 3: Cross multiply
    145,143,383,648x = 201,810,273,358 × 201,810,273,358
  4. Step 4: Simplify right side
    145,143,383,648x = 40,727,386,432,830,684,790,784
  5. Step 5: Solve for x
    x = 40,727,386,432,830,684,790,784/145,143,383,648
  6. Step 6: Final answer
    x = 280,601,054,000.52

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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.