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Finding the Third Proportional to 96,937,023 and 207,494,142

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Solution

The third proportional to 96,937,023 and 207,494,142 is: 444,142,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,937,023 : 207,494,142 = 207,494,142 : x
  2. Step 2: Convert to fraction form
    96,937,023/207,494,142 = 207,494,142/x
  3. Step 3: Cross multiply
    96,937,023x = 207,494,142 × 207,494,142
  4. Step 4: Simplify right side
    96,937,023x = 43,053,818,964,316,160
  5. Step 5: Solve for x
    x = 43,053,818,964,316,160/96,937,023
  6. Step 6: Final answer
    x = 444,142,161.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.