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Finding the Third Proportional to 154,315,386 and 238,729,383

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Solution

The third proportional to 154,315,386 and 238,729,383 is: 369,319,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,315,386 : 238,729,383 = 238,729,383 : x
  2. Step 2: Convert to fraction form
    154,315,386/238,729,383 = 238,729,383/x
  3. Step 3: Cross multiply
    154,315,386x = 238,729,383 × 238,729,383
  4. Step 4: Simplify right side
    154,315,386x = 56,991,718,307,560,688
  5. Step 5: Solve for x
    x = 56,991,718,307,560,688/154,315,386
  6. Step 6: Final answer
    x = 369,319,740.47

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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.