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Finding the Third Proportional to 153,493,066 and 236,168,025

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Solution

The third proportional to 153,493,066 and 236,168,025 is: 363,373,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,493,066 : 236,168,025 = 236,168,025 : x
  2. Step 2: Convert to fraction form
    153,493,066/236,168,025 = 236,168,025/x
  3. Step 3: Cross multiply
    153,493,066x = 236,168,025 × 236,168,025
  4. Step 4: Simplify right side
    153,493,066x = 55,775,336,032,400,624
  5. Step 5: Solve for x
    x = 55,775,336,032,400,624/153,493,066
  6. Step 6: Final answer
    x = 363,373,652.54

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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.