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Finding the Third Proportional to 74,502,337.50 and 111,294,650.25

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Solution

The third proportional to 74,502,337.50 and 111,294,650.25 is: 166,256,517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,502,337.50 : 111,294,650.25 = 111,294,650.25 : x
  2. Step 2: Convert to fraction form
    74,502,337.50/111,294,650.25 = 111,294,650.25/x
  3. Step 3: Cross multiply
    74,502,337.50x = 111,294,650.25 × 111,294,650.25
  4. Step 4: Simplify right side
    74,502,337.50x = 12,386,499,174,269,826
  5. Step 5: Solve for x
    x = 12,386,499,174,269,826/74,502,337.50
  6. Step 6: Final answer
    x = 166,256,517.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.