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Finding the Third Proportional to 176,320,320.75 and 411,737,621.63

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Solution

The third proportional to 176,320,320.75 and 411,737,621.63 is: 961,476,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,320,320.75 : 411,737,621.63 = 411,737,621.63 : x
  2. Step 2: Convert to fraction form
    176,320,320.75/411,737,621.63 = 411,737,621.63/x
  3. Step 3: Cross multiply
    176,320,320.75x = 411,737,621.63 × 411,737,621.63
  4. Step 4: Simplify right side
    176,320,320.75x = 169,527,869,061,411,680
  5. Step 5: Solve for x
    x = 169,527,869,061,411,680/176,320,320.75
  6. Step 6: Final answer
    x = 961,476,637.18

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.