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Finding the Third Proportional to 64,250,885.25 and 97,882,078.50

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Solution

The third proportional to 64,250,885.25 and 97,882,078.50 is: 149,117,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,250,885.25 : 97,882,078.50 = 97,882,078.50 : x
  2. Step 2: Convert to fraction form
    64,250,885.25/97,882,078.50 = 97,882,078.50/x
  3. Step 3: Cross multiply
    64,250,885.25x = 97,882,078.50 × 97,882,078.50
  4. Step 4: Simplify right side
    64,250,885.25x = 9,580,901,291,480,162
  5. Step 5: Solve for x
    x = 9,580,901,291,480,162/64,250,885.25
  6. Step 6: Final answer
    x = 149,117,031.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.