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Finding the Third Proportional to 112,681,207 and 246,964,142

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Solution

The third proportional to 112,681,207 and 246,964,142 is: 541,272,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,681,207 : 246,964,142 = 246,964,142 : x
  2. Step 2: Convert to fraction form
    112,681,207/246,964,142 = 246,964,142/x
  3. Step 3: Cross multiply
    112,681,207x = 246,964,142 × 246,964,142
  4. Step 4: Simplify right side
    112,681,207x = 60,991,287,433,796,160
  5. Step 5: Solve for x
    x = 60,991,287,433,796,160/112,681,207
  6. Step 6: Final answer
    x = 541,272,933.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.