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Finding the Third Proportional to 96,097,990 and 148,924,608

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Solution

The third proportional to 96,097,990 and 148,924,608 is: 230,790,871.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,097,990 : 148,924,608 = 148,924,608 : x
  2. Step 2: Convert to fraction form
    96,097,990/148,924,608 = 148,924,608/x
  3. Step 3: Cross multiply
    96,097,990x = 148,924,608 × 148,924,608
  4. Step 4: Simplify right side
    96,097,990x = 22,178,538,867,953,664
  5. Step 5: Solve for x
    x = 22,178,538,867,953,664/96,097,990
  6. Step 6: Final answer
    x = 230,790,871.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.