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Finding the Third Proportional to 136,447,238 and 296,801,423

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Solution

The third proportional to 136,447,238 and 296,801,423 is: 645,605,480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,447,238 : 296,801,423 = 296,801,423 : x
  2. Step 2: Convert to fraction form
    136,447,238/296,801,423 = 296,801,423/x
  3. Step 3: Cross multiply
    136,447,238x = 296,801,423 × 296,801,423
  4. Step 4: Simplify right side
    136,447,238x = 88,091,084,694,824,928
  5. Step 5: Solve for x
    x = 88,091,084,694,824,928/136,447,238
  6. Step 6: Final answer
    x = 645,605,480.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.