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Finding the Third Proportional to 64,764,090 and 140,289,876

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Solution

The third proportional to 64,764,090 and 140,289,876 is: 303,891,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,764,090 : 140,289,876 = 140,289,876 : x
  2. Step 2: Convert to fraction form
    64,764,090/140,289,876 = 140,289,876/x
  3. Step 3: Cross multiply
    64,764,090x = 140,289,876 × 140,289,876
  4. Step 4: Simplify right side
    64,764,090x = 19,681,249,308,095,376
  5. Step 5: Solve for x
    x = 19,681,249,308,095,376/64,764,090
  6. Step 6: Final answer
    x = 303,891,389.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.