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Finding the Third Proportional to 171,533,711.75 and 265,048,024.63

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Solution

The third proportional to 171,533,711.75 and 265,048,024.63 is: 409,543,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,533,711.75 : 265,048,024.63 = 265,048,024.63 : x
  2. Step 2: Convert to fraction form
    171,533,711.75/265,048,024.63 = 265,048,024.63/x
  3. Step 3: Cross multiply
    171,533,711.75x = 265,048,024.63 × 265,048,024.63
  4. Step 4: Simplify right side
    171,533,711.75x = 70,250,455,357,614,608
  5. Step 5: Solve for x
    x = 70,250,455,357,614,608/171,533,711.75
  6. Step 6: Final answer
    x = 409,543,142.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.