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Finding the Third Proportional to 111,429,027 and 148,611,874.50

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Solution

The third proportional to 111,429,027 and 148,611,874.50 is: 198,202,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,429,027 : 148,611,874.50 = 148,611,874.50 : x
  2. Step 2: Convert to fraction form
    111,429,027/148,611,874.50 = 148,611,874.50/x
  3. Step 3: Cross multiply
    111,429,027x = 148,611,874.50 × 148,611,874.50
  4. Step 4: Simplify right side
    111,429,027x = 22,085,489,242,403,752
  5. Step 5: Solve for x
    x = 22,085,489,242,403,752/111,429,027
  6. Step 6: Final answer
    x = 198,202,298.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.