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Finding the Third Proportional to 75,769,808 and 110,820,358

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Solution

The third proportional to 75,769,808 and 110,820,358 is: 162,085,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,769,808 : 110,820,358 = 110,820,358 : x
  2. Step 2: Convert to fraction form
    75,769,808/110,820,358 = 110,820,358/x
  3. Step 3: Cross multiply
    75,769,808x = 110,820,358 × 110,820,358
  4. Step 4: Simplify right side
    75,769,808x = 12,281,151,747,248,164
  5. Step 5: Solve for x
    x = 12,281,151,747,248,164/75,769,808
  6. Step 6: Final answer
    x = 162,085,031.91

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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.