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Finding the Third Proportional to 129,822,742 and 201,662,518

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Solution

The third proportional to 129,822,742 and 201,662,518 is: 313,256,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,822,742 : 201,662,518 = 201,662,518 : x
  2. Step 2: Convert to fraction form
    129,822,742/201,662,518 = 201,662,518/x
  3. Step 3: Cross multiply
    129,822,742x = 201,662,518 × 201,662,518
  4. Step 4: Simplify right side
    129,822,742x = 40,667,771,166,100,320
  5. Step 5: Solve for x
    x = 40,667,771,166,100,320/129,822,742
  6. Step 6: Final answer
    x = 313,256,140.95

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