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Finding the Third Proportional to 184,605,136 and 393,923,264

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Solution

The third proportional to 184,605,136 and 393,923,264 is: 840,580,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,605,136 : 393,923,264 = 393,923,264 : x
  2. Step 2: Convert to fraction form
    184,605,136/393,923,264 = 393,923,264/x
  3. Step 3: Cross multiply
    184,605,136x = 393,923,264 × 393,923,264
  4. Step 4: Simplify right side
    184,605,136x = 155,175,537,920,413,696
  5. Step 5: Solve for x
    x = 155,175,537,920,413,696/184,605,136
  6. Step 6: Final answer
    x = 840,580,827.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.