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Finding the Third Proportional to 74,344,744.50 and 161,043,283.50

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Solution

The third proportional to 74,344,744.50 and 161,043,283.50 is: 348,846,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,344,744.50 : 161,043,283.50 = 161,043,283.50 : x
  2. Step 2: Convert to fraction form
    74,344,744.50/161,043,283.50 = 161,043,283.50/x
  3. Step 3: Cross multiply
    74,344,744.50x = 161,043,283.50 × 161,043,283.50
  4. Step 4: Simplify right side
    74,344,744.50x = 25,934,939,160,461,372
  5. Step 5: Solve for x
    x = 25,934,939,160,461,372/74,344,744.50
  6. Step 6: Final answer
    x = 348,846,974.12

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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.