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Finding the Third Proportional to 64,016,240 and 140,175,136

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Solution

The third proportional to 64,016,240 and 140,175,136 is: 306,938,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,016,240 : 140,175,136 = 140,175,136 : x
  2. Step 2: Convert to fraction form
    64,016,240/140,175,136 = 140,175,136/x
  3. Step 3: Cross multiply
    64,016,240x = 140,175,136 × 140,175,136
  4. Step 4: Simplify right side
    64,016,240x = 19,649,068,752,618,496
  5. Step 5: Solve for x
    x = 19,649,068,752,618,496/64,016,240
  6. Step 6: Final answer
    x = 306,938,813.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.