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Finding the Third Proportional to 77,653,136 and 123,621,098

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Solution

The third proportional to 77,653,136 and 123,621,098 is: 196,800,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,653,136 : 123,621,098 = 123,621,098 : x
  2. Step 2: Convert to fraction form
    77,653,136/123,621,098 = 123,621,098/x
  3. Step 3: Cross multiply
    77,653,136x = 123,621,098 × 123,621,098
  4. Step 4: Simplify right side
    77,653,136x = 15,282,175,870,725,604
  5. Step 5: Solve for x
    x = 15,282,175,870,725,604/77,653,136
  6. Step 6: Final answer
    x = 196,800,498.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.