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Finding the Third Proportional to 129,822,746 and 201,662,524

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Solution

The third proportional to 129,822,746 and 201,662,524 is: 313,256,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,822,746 : 201,662,524 = 201,662,524 : x
  2. Step 2: Convert to fraction form
    129,822,746/201,662,524 = 201,662,524/x
  3. Step 3: Cross multiply
    129,822,746x = 201,662,524 × 201,662,524
  4. Step 4: Simplify right side
    129,822,746x = 40,667,773,586,050,576
  5. Step 5: Solve for x
    x = 40,667,773,586,050,576/129,822,746
  6. Step 6: Final answer
    x = 313,256,149.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.