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Finding the Third Proportional to 171,533,710 and 265,048,022

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Solution

The third proportional to 171,533,710 and 265,048,022 is: 409,543,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,533,710 : 265,048,022 = 265,048,022 : x
  2. Step 2: Convert to fraction form
    171,533,710/265,048,022 = 265,048,022/x
  3. Step 3: Cross multiply
    171,533,710x = 265,048,022 × 265,048,022
  4. Step 4: Simplify right side
    171,533,710x = 70,250,453,966,112,480
  5. Step 5: Solve for x
    x = 70,250,453,966,112,480/171,533,710
  6. Step 6: Final answer
    x = 409,543,138.58

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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.