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Finding the Third Proportional to 65,468,664 and 109,110,044.25

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Solution

The third proportional to 65,468,664 and 109,110,044.25 is: 181,842,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,468,664 : 109,110,044.25 = 109,110,044.25 : x
  2. Step 2: Convert to fraction form
    65,468,664/109,110,044.25 = 109,110,044.25/x
  3. Step 3: Cross multiply
    65,468,664x = 109,110,044.25 × 109,110,044.25
  4. Step 4: Simplify right side
    65,468,664x = 11,905,001,756,236,958
  5. Step 5: Solve for x
    x = 11,905,001,756,236,958/65,468,664
  6. Step 6: Final answer
    x = 181,842,747.80

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.