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Finding the Third Proportional to 129,822,734 and 201,662,506

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Solution

The third proportional to 129,822,734 and 201,662,506 is: 313,256,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,822,734 : 201,662,506 = 201,662,506 : x
  2. Step 2: Convert to fraction form
    129,822,734/201,662,506 = 201,662,506/x
  3. Step 3: Cross multiply
    129,822,734x = 201,662,506 × 201,662,506
  4. Step 4: Simplify right side
    129,822,734x = 40,667,766,326,200,032
  5. Step 5: Solve for x
    x = 40,667,766,326,200,032/129,822,734
  6. Step 6: Final answer
    x = 313,256,122.97

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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.