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Finding the Third Proportional to 96,660,988 and 146,395,386

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Solution

The third proportional to 96,660,988 and 146,395,386 is: 221,719,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,660,988 : 146,395,386 = 146,395,386 : x
  2. Step 2: Convert to fraction form
    96,660,988/146,395,386 = 146,395,386/x
  3. Step 3: Cross multiply
    96,660,988x = 146,395,386 × 146,395,386
  4. Step 4: Simplify right side
    96,660,988x = 21,431,609,042,088,996
  5. Step 5: Solve for x
    x = 21,431,609,042,088,996/96,660,988
  6. Step 6: Final answer
    x = 221,719,325.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.