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Finding the Third Proportional to 109,743,702 and 149,477,638.50

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Solution

The third proportional to 109,743,702 and 149,477,638.50 is: 203,597,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,743,702 : 149,477,638.50 = 149,477,638.50 : x
  2. Step 2: Convert to fraction form
    109,743,702/149,477,638.50 = 149,477,638.50/x
  3. Step 3: Cross multiply
    109,743,702x = 149,477,638.50 × 149,477,638.50
  4. Step 4: Simplify right side
    109,743,702x = 22,343,564,411,536,684
  5. Step 5: Solve for x
    x = 22,343,564,411,536,684/109,743,702
  6. Step 6: Final answer
    x = 203,597,691.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.