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Finding the Third Proportional to 46,227,258 and 100,158,156

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Solution

The third proportional to 46,227,258 and 100,158,156 is: 217,007,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,227,258 : 100,158,156 = 100,158,156 : x
  2. Step 2: Convert to fraction form
    46,227,258/100,158,156 = 100,158,156/x
  3. Step 3: Cross multiply
    46,227,258x = 100,158,156 × 100,158,156
  4. Step 4: Simplify right side
    46,227,258x = 10,031,656,213,320,336
  5. Step 5: Solve for x
    x = 10,031,656,213,320,336/46,227,258
  6. Step 6: Final answer
    x = 217,007,381.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.