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Finding the Third Proportional to 64,952,064 and 139,701,888

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Solution

The third proportional to 64,952,064 and 139,701,888 is: 300,477,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952,064 : 139,701,888 = 139,701,888 : x
  2. Step 2: Convert to fraction form
    64,952,064/139,701,888 = 139,701,888/x
  3. Step 3: Cross multiply
    64,952,064x = 139,701,888 × 139,701,888
  4. Step 4: Simplify right side
    64,952,064x = 19,516,617,510,764,544
  5. Step 5: Solve for x
    x = 19,516,617,510,764,544/64,952,064
  6. Step 6: Final answer
    x = 300,477,249.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.