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Finding the Third Proportional to 102,726,172 and 219,997,472

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Solution

The third proportional to 102,726,172 and 219,997,472 is: 471,144,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,726,172 : 219,997,472 = 219,997,472 : x
  2. Step 2: Convert to fraction form
    102,726,172/219,997,472 = 219,997,472/x
  3. Step 3: Cross multiply
    102,726,172x = 219,997,472 × 219,997,472
  4. Step 4: Simplify right side
    102,726,172x = 48,398,887,686,390,784
  5. Step 5: Solve for x
    x = 48,398,887,686,390,784/102,726,172
  6. Step 6: Final answer
    x = 471,144,662.98

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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.