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Finding the Third Proportional to 75,769,843 and 110,820,409

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Solution

The third proportional to 75,769,843 and 110,820,409 is: 162,085,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,769,843 : 110,820,409 = 110,820,409 : x
  2. Step 2: Convert to fraction form
    75,769,843/110,820,409 = 110,820,409/x
  3. Step 3: Cross multiply
    75,769,843x = 110,820,409 × 110,820,409
  4. Step 4: Simplify right side
    75,769,843x = 12,281,163,050,927,280
  5. Step 5: Solve for x
    x = 12,281,163,050,927,280/75,769,843
  6. Step 6: Final answer
    x = 162,085,106.22

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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.