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Finding the Third Proportional to 39,154,745 and 85,838,929.50

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Solution

The third proportional to 39,154,745 and 85,838,929.50 is: 188,184,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,154,745 : 85,838,929.50 = 85,838,929.50 : x
  2. Step 2: Convert to fraction form
    39,154,745/85,838,929.50 = 85,838,929.50/x
  3. Step 3: Cross multiply
    39,154,745x = 85,838,929.50 × 85,838,929.50
  4. Step 4: Simplify right side
    39,154,745x = 7,368,321,817,705,970
  5. Step 5: Solve for x
    x = 7,368,321,817,705,970/39,154,745
  6. Step 6: Final answer
    x = 188,184,645.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.