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Finding the Third Proportional to 96,097,986 and 148,924,602

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Solution

The third proportional to 96,097,986 and 148,924,602 is: 230,790,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,097,986 : 148,924,602 = 148,924,602 : x
  2. Step 2: Convert to fraction form
    96,097,986/148,924,602 = 148,924,602/x
  3. Step 3: Cross multiply
    96,097,986x = 148,924,602 × 148,924,602
  4. Step 4: Simplify right side
    96,097,986x = 22,178,537,080,858,404
  5. Step 5: Solve for x
    x = 22,178,537,080,858,404/96,097,986
  6. Step 6: Final answer
    x = 230,790,862.58

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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.