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Finding the Third Proportional to 77,653,134 and 123,621,095

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Solution

The third proportional to 77,653,134 and 123,621,095 is: 196,800,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,653,134 : 123,621,095 = 123,621,095 : x
  2. Step 2: Convert to fraction form
    77,653,134/123,621,095 = 123,621,095/x
  3. Step 3: Cross multiply
    77,653,134x = 123,621,095 × 123,621,095
  4. Step 4: Simplify right side
    77,653,134x = 15,282,175,128,999,024
  5. Step 5: Solve for x
    x = 15,282,175,128,999,024/77,653,134
  6. Step 6: Final answer
    x = 196,800,493.96

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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.