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Finding the Third Proportional to 174,542,070 and 260,299,489.50

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Solution

The third proportional to 174,542,070 and 260,299,489.50 is: 388,191,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,542,070 : 260,299,489.50 = 260,299,489.50 : x
  2. Step 2: Convert to fraction form
    174,542,070/260,299,489.50 = 260,299,489.50/x
  3. Step 3: Cross multiply
    174,542,070x = 260,299,489.50 × 260,299,489.50
  4. Step 4: Simplify right side
    174,542,070x = 67,755,824,233,960,608
  5. Step 5: Solve for x
    x = 67,755,824,233,960,608/174,542,070
  6. Step 6: Final answer
    x = 388,191,936.96

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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.