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Finding the Third Proportional to 153,131,046 and 235,373,505

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Solution

The third proportional to 153,131,046 and 235,373,505 is: 361,786,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,131,046 : 235,373,505 = 235,373,505 : x
  2. Step 2: Convert to fraction form
    153,131,046/235,373,505 = 235,373,505/x
  3. Step 3: Cross multiply
    153,131,046x = 235,373,505 × 235,373,505
  4. Step 4: Simplify right side
    153,131,046x = 55,400,686,855,985,024
  5. Step 5: Solve for x
    x = 55,400,686,855,985,024/153,131,046
  6. Step 6: Final answer
    x = 361,786,119.16

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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.