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Finding the Third Proportional to 65,228,337 and 139,793,908.50

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Solution

The third proportional to 65,228,337 and 139,793,908.50 is: 299,598,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,228,337 : 139,793,908.50 = 139,793,908.50 : x
  2. Step 2: Convert to fraction form
    65,228,337/139,793,908.50 = 139,793,908.50/x
  3. Step 3: Cross multiply
    65,228,337x = 139,793,908.50 × 139,793,908.50
  4. Step 4: Simplify right side
    65,228,337x = 19,542,336,853,706,372
  5. Step 5: Solve for x
    x = 19,542,336,853,706,372/65,228,337
  6. Step 6: Final answer
    x = 299,598,882.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.