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Finding the Third Proportional to 83,177,136 and 185,479,416

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Solution

The third proportional to 83,177,136 and 185,479,416 is: 413,606,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,177,136 : 185,479,416 = 185,479,416 : x
  2. Step 2: Convert to fraction form
    83,177,136/185,479,416 = 185,479,416/x
  3. Step 3: Cross multiply
    83,177,136x = 185,479,416 × 185,479,416
  4. Step 4: Simplify right side
    83,177,136x = 34,402,613,759,701,056
  5. Step 5: Solve for x
    x = 34,402,613,759,701,056/83,177,136
  6. Step 6: Final answer
    x = 413,606,616.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.