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Finding the Third Proportional to 171,533,702 and 265,048,010

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Solution

The third proportional to 171,533,702 and 265,048,010 is: 409,543,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,533,702 : 265,048,010 = 265,048,010 : x
  2. Step 2: Convert to fraction form
    171,533,702/265,048,010 = 265,048,010/x
  3. Step 3: Cross multiply
    171,533,702x = 265,048,010 × 265,048,010
  4. Step 4: Simplify right side
    171,533,702x = 70,250,447,604,960,096
  5. Step 5: Solve for x
    x = 70,250,447,604,960,096/171,533,702
  6. Step 6: Final answer
    x = 409,543,120.60

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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.