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Finding the Third Proportional to 174,843,312 and 381,329,180

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Solution

The third proportional to 174,843,312 and 381,329,180 is: 831,670,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,843,312 : 381,329,180 = 381,329,180 : x
  2. Step 2: Convert to fraction form
    174,843,312/381,329,180 = 381,329,180/x
  3. Step 3: Cross multiply
    174,843,312x = 381,329,180 × 381,329,180
  4. Step 4: Simplify right side
    174,843,312x = 145,411,943,519,472,384
  5. Step 5: Solve for x
    x = 145,411,943,519,472,384/174,843,312
  6. Step 6: Final answer
    x = 831,670,035.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.