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Finding the Third Proportional to 238,419,805,089 and 366,468,334,258.50

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Solution

The third proportional to 238,419,805,089 and 366,468,334,258.50 is: 563,288,104,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,419,805,089 : 366,468,334,258.50 = 366,468,334,258.50 : x
  2. Step 2: Convert to fraction form
    238,419,805,089/366,468,334,258.50 = 366,468,334,258.50/x
  3. Step 3: Cross multiply
    238,419,805,089x = 366,468,334,258.50 × 366,468,334,258.50
  4. Step 4: Simplify right side
    238,419,805,089x = 134,299,040,014,199,689,314,304
  5. Step 5: Solve for x
    x = 134,299,040,014,199,689,314,304/238,419,805,089
  6. Step 6: Final answer
    x = 563,288,104,207.90

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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.