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Finding the Third Proportional to 153,132,238 and 235,375,262

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Solution

The third proportional to 153,132,238 and 235,375,262 is: 361,788,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,132,238 : 235,375,262 = 235,375,262 : x
  2. Step 2: Convert to fraction form
    153,132,238/235,375,262 = 235,375,262/x
  3. Step 3: Cross multiply
    153,132,238x = 235,375,262 × 235,375,262
  4. Step 4: Simplify right side
    153,132,238x = 55,401,513,961,568,640
  5. Step 5: Solve for x
    x = 55,401,513,961,568,640/153,132,238
  6. Step 6: Final answer
    x = 361,788,704.23

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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.