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Finding the Third Proportional to 65,228,334 and 139,793,902.50

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Solution

The third proportional to 65,228,334 and 139,793,902.50 is: 299,598,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,228,334 : 139,793,902.50 = 139,793,902.50 : x
  2. Step 2: Convert to fraction form
    65,228,334/139,793,902.50 = 139,793,902.50/x
  3. Step 3: Cross multiply
    65,228,334x = 139,793,902.50 × 139,793,902.50
  4. Step 4: Simplify right side
    65,228,334x = 19,542,335,176,179,508
  5. Step 5: Solve for x
    x = 19,542,335,176,179,508/65,228,334
  6. Step 6: Final answer
    x = 299,598,870.27

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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.