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Finding the Third Proportional to 151,156,080,138 and 324,744,130,068

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Solution

The third proportional to 151,156,080,138 and 324,744,130,068 is: 697,681,164,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,156,080,138 : 324,744,130,068 = 324,744,130,068 : x
  2. Step 2: Convert to fraction form
    151,156,080,138/324,744,130,068 = 324,744,130,068/x
  3. Step 3: Cross multiply
    151,156,080,138x = 324,744,130,068 × 324,744,130,068
  4. Step 4: Simplify right side
    151,156,080,138x = 105,458,750,013,622,108,291,072
  5. Step 5: Solve for x
    x = 105,458,750,013,622,108,291,072/151,156,080,138
  6. Step 6: Final answer
    x = 697,681,164,511.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.