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Finding the Third Proportional to 157,553,869 and 253,145,216

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Solution

The third proportional to 157,553,869 and 253,145,216 is: 406,733,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,553,869 : 253,145,216 = 253,145,216 : x
  2. Step 2: Convert to fraction form
    157,553,869/253,145,216 = 253,145,216/x
  3. Step 3: Cross multiply
    157,553,869x = 253,145,216 × 253,145,216
  4. Step 4: Simplify right side
    157,553,869x = 64,082,500,383,686,656
  5. Step 5: Solve for x
    x = 64,082,500,383,686,656/157,553,869
  6. Step 6: Final answer
    x = 406,733,904.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.