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Finding the Third Proportional to 134,264,876 and 207,328,457

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Solution

The third proportional to 134,264,876 and 207,328,457 is: 320,151,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,264,876 : 207,328,457 = 207,328,457 : x
  2. Step 2: Convert to fraction form
    134,264,876/207,328,457 = 207,328,457/x
  3. Step 3: Cross multiply
    134,264,876x = 207,328,457 × 207,328,457
  4. Step 4: Simplify right side
    134,264,876x = 42,985,089,082,000,848
  5. Step 5: Solve for x
    x = 42,985,089,082,000,848/134,264,876
  6. Step 6: Final answer
    x = 320,151,407.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.