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Finding the Third Proportional to 68,133,737.25 and 102,175,592.06

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Solution

The third proportional to 68,133,737.25 and 102,175,592.06 is: 153,225,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,133,737.25 : 102,175,592.06 = 102,175,592.06 : x
  2. Step 2: Convert to fraction form
    68,133,737.25/102,175,592.06 = 102,175,592.06/x
  3. Step 3: Cross multiply
    68,133,737.25x = 102,175,592.06 × 102,175,592.06
  4. Step 4: Simplify right side
    68,133,737.25x = 10,439,851,613,322,414
  5. Step 5: Solve for x
    x = 10,439,851,613,322,414/68,133,737.25
  6. Step 6: Final answer
    x = 153,225,876.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.