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Finding the Third Proportional to 39,023,783.50 and 86,772,668.50

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Solution

The third proportional to 39,023,783.50 and 86,772,668.50 is: 192,946,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,023,783.50 : 86,772,668.50 = 86,772,668.50 : x
  2. Step 2: Convert to fraction form
    39,023,783.50/86,772,668.50 = 86,772,668.50/x
  3. Step 3: Cross multiply
    39,023,783.50x = 86,772,668.50 × 86,772,668.50
  4. Step 4: Simplify right side
    39,023,783.50x = 7,529,495,998,610,892
  5. Step 5: Solve for x
    x = 7,529,495,998,610,892/39,023,783.50
  6. Step 6: Final answer
    x = 192,946,334.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.