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Finding the Third Proportional to 74,198,376 and 102,528,132

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Solution

The third proportional to 74,198,376 and 102,528,132 is: 141,674,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,198,376 : 102,528,132 = 102,528,132 : x
  2. Step 2: Convert to fraction form
    74,198,376/102,528,132 = 102,528,132/x
  3. Step 3: Cross multiply
    74,198,376x = 102,528,132 × 102,528,132
  4. Step 4: Simplify right side
    74,198,376x = 10,512,017,851,409,424
  5. Step 5: Solve for x
    x = 10,512,017,851,409,424/74,198,376
  6. Step 6: Final answer
    x = 141,674,500.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.