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Finding the Third Proportional to 171,980,061 and 262,971,899

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Solution

The third proportional to 171,980,061 and 262,971,899 is: 402,106,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,980,061 : 262,971,899 = 262,971,899 : x
  2. Step 2: Convert to fraction form
    171,980,061/262,971,899 = 262,971,899/x
  3. Step 3: Cross multiply
    171,980,061x = 262,971,899 × 262,971,899
  4. Step 4: Simplify right side
    171,980,061x = 69,154,219,663,666,200
  5. Step 5: Solve for x
    x = 69,154,219,663,666,200/171,980,061
  6. Step 6: Final answer
    x = 402,106,030.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.