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Finding the Third Proportional to 190,771,465 and 413,235,680

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Solution

The third proportional to 190,771,465 and 413,235,680 is: 895,121,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,771,465 : 413,235,680 = 413,235,680 : x
  2. Step 2: Convert to fraction form
    190,771,465/413,235,680 = 413,235,680/x
  3. Step 3: Cross multiply
    190,771,465x = 413,235,680 × 413,235,680
  4. Step 4: Simplify right side
    190,771,465x = 170,763,727,225,062,400
  5. Step 5: Solve for x
    x = 170,763,727,225,062,400/190,771,465
  6. Step 6: Final answer
    x = 895,121,957.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.