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Finding the Third Proportional to 134,957,730,517 and 281,085,833,009

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Solution

The third proportional to 134,957,730,517 and 281,085,833,009 is: 585,436,975,086.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,957,730,517 : 281,085,833,009 = 281,085,833,009 : x
  2. Step 2: Convert to fraction form
    134,957,730,517/281,085,833,009 = 281,085,833,009/x
  3. Step 3: Cross multiply
    134,957,730,517x = 281,085,833,009 × 281,085,833,009
  4. Step 4: Simplify right side
    134,957,730,517x = 79,009,245,518,363,430,486,016
  5. Step 5: Solve for x
    x = 79,009,245,518,363,430,486,016/134,957,730,517
  6. Step 6: Final answer
    x = 585,436,975,086.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.