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Finding the Third Proportional to 39,476,970 and 88,031,027.81

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Solution

The third proportional to 39,476,970 and 88,031,027.81 is: 196,303,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,476,970 : 88,031,027.81 = 88,031,027.81 : x
  2. Step 2: Convert to fraction form
    39,476,970/88,031,027.81 = 88,031,027.81/x
  3. Step 3: Cross multiply
    39,476,970x = 88,031,027.81 × 88,031,027.81
  4. Step 4: Simplify right side
    39,476,970x = 7,749,461,857,725,149
  5. Step 5: Solve for x
    x = 7,749,461,857,725,149/39,476,970
  6. Step 6: Final answer
    x = 196,303,360.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.