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Finding the Third Proportional to 193,822,969.50 and 425,305,668.94

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Solution

The third proportional to 193,822,969.50 and 425,305,668.94 is: 933,248,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,822,969.50 : 425,305,668.94 = 425,305,668.94 : x
  2. Step 2: Convert to fraction form
    193,822,969.50/425,305,668.94 = 425,305,668.94/x
  3. Step 3: Cross multiply
    193,822,969.50x = 425,305,668.94 × 425,305,668.94
  4. Step 4: Simplify right side
    193,822,969.50x = 180,884,912,030,374,368
  5. Step 5: Solve for x
    x = 180,884,912,030,374,368/193,822,969.50
  6. Step 6: Final answer
    x = 933,248,069.09

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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.