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Finding the Third Proportional to 118,078,509 and 256,228,050

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Solution

The third proportional to 118,078,509 and 256,228,050 is: 556,009,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,078,509 : 256,228,050 = 256,228,050 : x
  2. Step 2: Convert to fraction form
    118,078,509/256,228,050 = 256,228,050/x
  3. Step 3: Cross multiply
    118,078,509x = 256,228,050 × 256,228,050
  4. Step 4: Simplify right side
    118,078,509x = 65,652,813,606,802,496
  5. Step 5: Solve for x
    x = 65,652,813,606,802,496/118,078,509
  6. Step 6: Final answer
    x = 556,009,846.02

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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.