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Finding the Third Proportional to 75,741,277.50 and 165,654,315

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Solution

The third proportional to 75,741,277.50 and 165,654,315 is: 362,303,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,741,277.50 : 165,654,315 = 165,654,315 : x
  2. Step 2: Convert to fraction form
    75,741,277.50/165,654,315 = 165,654,315/x
  3. Step 3: Cross multiply
    75,741,277.50x = 165,654,315 × 165,654,315
  4. Step 4: Simplify right side
    75,741,277.50x = 27,441,352,078,119,224
  5. Step 5: Solve for x
    x = 27,441,352,078,119,224/75,741,277.50
  6. Step 6: Final answer
    x = 362,303,792.38

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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.