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Finding the Third Proportional to 169,929,100.13 and 262,400,256.84

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Solution

The third proportional to 169,929,100.13 and 262,400,256.84 is: 405,191,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,929,100.13 : 262,400,256.84 = 262,400,256.84 : x
  2. Step 2: Convert to fraction form
    169,929,100.13/262,400,256.84 = 262,400,256.84/x
  3. Step 3: Cross multiply
    169,929,100.13x = 262,400,256.84 × 262,400,256.84
  4. Step 4: Simplify right side
    169,929,100.13x = 68,853,894,791,665,968
  5. Step 5: Solve for x
    x = 68,853,894,791,665,968/169,929,100.13
  6. Step 6: Final answer
    x = 405,191,899.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.