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Finding the Third Proportional to 193,822,970 and 425,305,670

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Solution

The third proportional to 193,822,970 and 425,305,670 is: 933,248,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,822,970 : 425,305,670 = 425,305,670 : x
  2. Step 2: Convert to fraction form
    193,822,970/425,305,670 = 425,305,670/x
  3. Step 3: Cross multiply
    193,822,970x = 425,305,670 × 425,305,670
  4. Step 4: Simplify right side
    193,822,970x = 180,884,912,934,148,896
  5. Step 5: Solve for x
    x = 180,884,912,934,148,896/193,822,970
  6. Step 6: Final answer
    x = 933,248,071.34

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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.