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Finding the Third Proportional to 190,483,376 and 413,439,328

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Solution

The third proportional to 190,483,376 and 413,439,328 is: 897,359,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,483,376 : 413,439,328 = 413,439,328 : x
  2. Step 2: Convert to fraction form
    190,483,376/413,439,328 = 413,439,328/x
  3. Step 3: Cross multiply
    190,483,376x = 413,439,328 × 413,439,328
  4. Step 4: Simplify right side
    190,483,376x = 170,932,077,937,091,584
  5. Step 5: Solve for x
    x = 170,932,077,937,091,584/190,483,376
  6. Step 6: Final answer
    x = 897,359,557.18

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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.