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Finding the Third Proportional to 190,771,456.50 and 413,235,663.75

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Solution

The third proportional to 190,771,456.50 and 413,235,663.75 is: 895,121,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,771,456.50 : 413,235,663.75 = 413,235,663.75 : x
  2. Step 2: Convert to fraction form
    190,771,456.50/413,235,663.75 = 413,235,663.75/x
  3. Step 3: Cross multiply
    190,771,456.50x = 413,235,663.75 × 413,235,663.75
  4. Step 4: Simplify right side
    190,771,456.50x = 170,763,713,794,903,072
  5. Step 5: Solve for x
    x = 170,763,713,794,903,072/190,771,456.50
  6. Step 6: Final answer
    x = 895,121,927.19

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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.