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Finding the Third Proportional to 134,957,730,509 and 281,085,832,993

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Solution

The third proportional to 134,957,730,509 and 281,085,832,993 is: 585,436,975,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,957,730,509 : 281,085,832,993 = 281,085,832,993 : x
  2. Step 2: Convert to fraction form
    134,957,730,509/281,085,832,993 = 281,085,832,993/x
  3. Step 3: Cross multiply
    134,957,730,509x = 281,085,832,993 × 281,085,832,993
  4. Step 4: Simplify right side
    134,957,730,509x = 79,009,245,509,368,695,226,368
  5. Step 5: Solve for x
    x = 79,009,245,509,368,695,226,368/134,957,730,509
  6. Step 6: Final answer
    x = 585,436,975,054.20

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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.