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Finding the Third Proportional to 145,143,383,651 and 201,810,273,362

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Solution

The third proportional to 145,143,383,651 and 201,810,273,362 is: 280,601,054,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,143,383,651 : 201,810,273,362 = 201,810,273,362 : x
  2. Step 2: Convert to fraction form
    145,143,383,651/201,810,273,362 = 201,810,273,362/x
  3. Step 3: Cross multiply
    145,143,383,651x = 201,810,273,362 × 201,810,273,362
  4. Step 4: Simplify right side
    145,143,383,651x = 40,727,386,434,445,164,675,072
  5. Step 5: Solve for x
    x = 40,727,386,434,445,164,675,072/145,143,383,651
  6. Step 6: Final answer
    x = 280,601,054,005.84

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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.