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Finding the Third Proportional to 190,821,754.88 and 413,329,683

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Solution

The third proportional to 190,821,754.88 and 413,329,683 is: 895,293,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,821,754.88 : 413,329,683 = 413,329,683 : x
  2. Step 2: Convert to fraction form
    190,821,754.88/413,329,683 = 413,329,683/x
  3. Step 3: Cross multiply
    190,821,754.88x = 413,329,683 × 413,329,683
  4. Step 4: Simplify right side
    190,821,754.88x = 170,841,426,848,880,480
  5. Step 5: Solve for x
    x = 170,841,426,848,880,480/190,821,754.88
  6. Step 6: Final answer
    x = 895,293,238.24

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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.