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Finding the Third Proportional to 75,813,658 and 110,877,171

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Solution

The third proportional to 75,813,658 and 110,877,171 is: 162,157,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,813,658 : 110,877,171 = 110,877,171 : x
  2. Step 2: Convert to fraction form
    75,813,658/110,877,171 = 110,877,171/x
  3. Step 3: Cross multiply
    75,813,658x = 110,877,171 × 110,877,171
  4. Step 4: Simplify right side
    75,813,658x = 12,293,747,048,963,240
  5. Step 5: Solve for x
    x = 12,293,747,048,963,240/75,813,658
  6. Step 6: Final answer
    x = 162,157,418.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.