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Finding the Third Proportional to 113,876,195,094 and 244,890,365,984

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Solution

The third proportional to 113,876,195,094 and 244,890,365,984 is: 526,635,889,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,876,195,094 : 244,890,365,984 = 244,890,365,984 : x
  2. Step 2: Convert to fraction form
    113,876,195,094/244,890,365,984 = 244,890,365,984/x
  3. Step 3: Cross multiply
    113,876,195,094x = 244,890,365,984 × 244,890,365,984
  4. Step 4: Simplify right side
    113,876,195,094x = 59,971,291,351,777,462,452,224
  5. Step 5: Solve for x
    x = 59,971,291,351,777,462,452,224/113,876,195,094
  6. Step 6: Final answer
    x = 526,635,889,988.02

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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.