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Finding the Third Proportional to 118,257,225 and 252,857,490

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Solution

The third proportional to 118,257,225 and 252,857,490 is: 540,659,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,257,225 : 252,857,490 = 252,857,490 : x
  2. Step 2: Convert to fraction form
    118,257,225/252,857,490 = 252,857,490/x
  3. Step 3: Cross multiply
    118,257,225x = 252,857,490 × 252,857,490
  4. Step 4: Simplify right side
    118,257,225x = 63,936,910,249,100,096
  5. Step 5: Solve for x
    x = 63,936,910,249,100,096/118,257,225
  6. Step 6: Final answer
    x = 540,659,653.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.