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Finding the Third Proportional to 152,205,642 and 235,303,218

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Solution

The third proportional to 152,205,642 and 235,303,218 is: 363,768,410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,205,642 : 235,303,218 = 235,303,218 : x
  2. Step 2: Convert to fraction form
    152,205,642/235,303,218 = 235,303,218/x
  3. Step 3: Cross multiply
    152,205,642x = 235,303,218 × 235,303,218
  4. Step 4: Simplify right side
    152,205,642x = 55,367,604,401,155,520
  5. Step 5: Solve for x
    x = 55,367,604,401,155,520/152,205,642
  6. Step 6: Final answer
    x = 363,768,410.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.