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Finding the Third Proportional to 138,832,034 and 203,137,534

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Solution

The third proportional to 138,832,034 and 203,137,534 is: 297,228,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,832,034 : 203,137,534 = 203,137,534 : x
  2. Step 2: Convert to fraction form
    138,832,034/203,137,534 = 203,137,534/x
  3. Step 3: Cross multiply
    138,832,034x = 203,137,534 × 203,137,534
  4. Step 4: Simplify right side
    138,832,034x = 41,264,857,719,601,152
  5. Step 5: Solve for x
    x = 41,264,857,719,601,152/138,832,034
  6. Step 6: Final answer
    x = 297,228,647.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.