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Finding the Third Proportional to 174,949,164 and 375,861,255.75

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Solution

The third proportional to 174,949,164 and 375,861,255.75 is: 807,501,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,949,164 : 375,861,255.75 = 375,861,255.75 : x
  2. Step 2: Convert to fraction form
    174,949,164/375,861,255.75 = 375,861,255.75/x
  3. Step 3: Cross multiply
    174,949,164x = 375,861,255.75 × 375,861,255.75
  4. Step 4: Simplify right side
    174,949,164x = 141,271,683,573,966,912
  5. Step 5: Solve for x
    x = 141,271,683,573,966,912/174,949,164
  6. Step 6: Final answer
    x = 807,501,335.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.