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Finding the Third Proportional to 153,132,996 and 235,376,022

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Solution

The third proportional to 153,132,996 and 235,376,022 is: 361,789,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,132,996 : 235,376,022 = 235,376,022 : x
  2. Step 2: Convert to fraction form
    153,132,996/235,376,022 = 235,376,022/x
  3. Step 3: Cross multiply
    153,132,996x = 235,376,022 × 235,376,022
  4. Step 4: Simplify right side
    153,132,996x = 55,401,871,732,544,480
  5. Step 5: Solve for x
    x = 55,401,871,732,544,480/153,132,996
  6. Step 6: Final answer
    x = 361,789,249.74

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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.