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Finding the Third Proportional to 51,853,174 and 111,745,276

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Solution

The third proportional to 51,853,174 and 111,745,276 is: 240,814,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,853,174 : 111,745,276 = 111,745,276 : x
  2. Step 2: Convert to fraction form
    51,853,174/111,745,276 = 111,745,276/x
  3. Step 3: Cross multiply
    51,853,174x = 111,745,276 × 111,745,276
  4. Step 4: Simplify right side
    51,853,174x = 12,487,006,708,316,176
  5. Step 5: Solve for x
    x = 12,487,006,708,316,176/51,853,174
  6. Step 6: Final answer
    x = 240,814,703.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.