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Finding the Third Proportional to 190,771,460 and 413,235,672

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Solution

The third proportional to 190,771,460 and 413,235,672 is: 895,121,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,771,460 : 413,235,672 = 413,235,672 : x
  2. Step 2: Convert to fraction form
    190,771,460/413,235,672 = 413,235,672/x
  3. Step 3: Cross multiply
    190,771,460x = 413,235,672 × 413,235,672
  4. Step 4: Simplify right side
    190,771,460x = 170,763,720,613,291,584
  5. Step 5: Solve for x
    x = 170,763,720,613,291,584/190,771,460
  6. Step 6: Final answer
    x = 895,121,946.51

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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.