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Finding the Third Proportional to 153,132,014 and 235,374,885

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Solution

The third proportional to 153,132,014 and 235,374,885 is: 361,788,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,132,014 : 235,374,885 = 235,374,885 : x
  2. Step 2: Convert to fraction form
    153,132,014/235,374,885 = 235,374,885/x
  3. Step 3: Cross multiply
    153,132,014x = 235,374,885 × 235,374,885
  4. Step 4: Simplify right side
    153,132,014x = 55,401,336,488,763,224
  5. Step 5: Solve for x
    x = 55,401,336,488,763,224/153,132,014
  6. Step 6: Final answer
    x = 361,788,074.50

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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.