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Finding the Third Proportional to 82,263,740 and 127,788,401

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Solution

The third proportional to 82,263,740 and 127,788,401 is: 198,506,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,263,740 : 127,788,401 = 127,788,401 : x
  2. Step 2: Convert to fraction form
    82,263,740/127,788,401 = 127,788,401/x
  3. Step 3: Cross multiply
    82,263,740x = 127,788,401 × 127,788,401
  4. Step 4: Simplify right side
    82,263,740x = 16,329,875,430,136,800
  5. Step 5: Solve for x
    x = 16,329,875,430,136,800/82,263,740
  6. Step 6: Final answer
    x = 198,506,358.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.