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Finding the Third Proportional to 74,017,188 and 160,390,372.50

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Solution

The third proportional to 74,017,188 and 160,390,372.50 is: 347,555,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,017,188 : 160,390,372.50 = 160,390,372.50 : x
  2. Step 2: Convert to fraction form
    74,017,188/160,390,372.50 = 160,390,372.50/x
  3. Step 3: Cross multiply
    74,017,188x = 160,390,372.50 × 160,390,372.50
  4. Step 4: Simplify right side
    74,017,188x = 25,725,071,590,688,756
  5. Step 5: Solve for x
    x = 25,725,071,590,688,756/74,017,188
  6. Step 6: Final answer
    x = 347,555,375.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.